Chong Lin - Profile on Academia.edu (original) (raw)

Papers by Chong Lin

Research paper thumbnail of Observer Design for Cyber-Physical Systems With State Delay and Sparse Sensor Attacks

IEEE Access, 2021

This paper studies the problem of the secure state estimation of cyber-physical systems. The syst... more This paper studies the problem of the secure state estimation of cyber-physical systems. The system model we studied is a class of discrete-time systems with state delay and sparse sensor attacks. In the design of the observer, a Projection Operator is utilized to determine the correct attack set, and the gain matrix will be switched accordingly. In this way, the excessive estimation error could be avoided effectively. In addition, based on the generalization of the classical Krasovskii Stability Theorem for stability analysis of time-delay systems, a Lyapunov-Krasovskii functional is chosen and a sufficient condition for the existence of the observer together with its design method is determined. The designed observer overcomes the difficulties caused by state delay and sensor attacks, and has good performance in secure estimation. Finally, two examples are given to verify that the observer can restore the desired estimate in a short time when a sudden attack occurs.

Research paper thumbnail of Nonlinear <tex>$H_{\infty}$</tex> Observer Design for One-Sided Lipschitz Systems with Time-Varying Delay

Nonlinear $H_{\infty}$ Observer Design for One-Sided Lipschitz Systems with Time-Varying Delay

This paper investigates the H∞) observer design problem for a class of nonlinear systems with int... more This paper investigates the H∞) observer design problem for a class of nonlinear systems with interval time-varying delays and satisfying the one-sided Lipschitz condition and the quadratic inner-bounded condition simultaneously. Not only the plants but also the outputs of the systems are subject to time-varying delay and disturbances. By using Free-Matrix-based integral inequality which is tighter than many Wirtinger-based integral inequality and free-weighting matrix technique, together with one-sided Lipschitz condition and quadratic inner-bounded condition, a new and LMI-based conditions of the proposed nonlinear H∞) observer is derived. The resulting nonlinear H∞) observer guarantees asymptotic stability of the estimation error dynamics with a prescribed performance r. Finally, a numerical example is given to shown the effectiveness of the presented approach.

Research paper thumbnail of A novel adaptive fuzzy control design for a class of strict-feedback stochastic nonlinear systems

A novel adaptive fuzzy control design for a class of strict-feedback stochastic nonlinear systems

ABSTRACT In this paper, the problem of adaptive fuzzy control design is investigated for strict-f... more ABSTRACT In this paper, the problem of adaptive fuzzy control design is investigated for strict-feedback stochastic nonlinear systems. Fuzzy logic systems are used to approximate the packaged unknown functions and adaptive backstepping technique is utilized to construct adaptive controller. The proposed controller guarantees that all the signals in the closed-loop system are bounded in probability. The main advantages of the proposed controller lie in that fuzzy basis function vectors are not contained in the proposed controller, which makes the adaptive fuzzy control scheme is very simple. And the proposed controller contains only one adaptive parameter that needs to be updated online. Simulation results further demonstrate the effectiveness of the proposed approach.

Research paper thumbnail of Adaptive event-triggered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.svg"><mml:msub><mml:mi>H</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math> fuzzy filter design for nonlinear networked systems via asymmetric LKF approach

Adaptive event-triggered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.svg">mml:msubmml:miHmml:mi∞ fuzzy filter design for nonlinear networked systems via asymmetric LKF approach

Journal of The Franklin Institute-engineering and Applied Mathematics, Aug 1, 2022

Research paper thumbnail of Adaptive neural consensus tracking control for a class of 2-order multi-agent systems with nonlinear dynamics

Neurocomputing, Sep 1, 2020

This paper investigates the problem of finite-time consensus tracking control for a class of 2-or... more This paper investigates the problem of finite-time consensus tracking control for a class of 2-order nonlinear multi-agent systems (MASs). In order to present a consensus control protocol by adaptive neural control approach, a novel fast finite-time stability criterion is first set up, which provides a theoretical basis for applying approximation-based adaptive control approaches to solve the finite-time control issues. Furthermore, an adaptive neural fast finite-time consensus tracking controller is constructed based on the developed finite-time stability criterion. The suggested adaptive neural backstepping control design scheme successfully avoids the problem of singularity of controllers. Under the action of the presented protocol, the output of each follower tracks the reference signal and other signals of the closedloop system remain bounded in finite time. The efficacy of the proposed control scheme is confirmed by simulation study.

Research paper thumbnail of Output-feedback control design for switched nonlinear systems: Adaptive neural backstepping approach

Information Sciences, Aug 1, 2018

The tracking control is addressed for switched nonlinear systems with arbitrary switchings by ada... more The tracking control is addressed for switched nonlinear systems with arbitrary switchings by adaptive neural approach via output feedback. The switched systems under consideration are composed of some subsystems in non-strict -feedback form. It is assumed that all the system state variables are unavailable, but the output variable is measurable. A switched nonlinear observer is set up to estimate those unmeasurable state variables. Convex combination method is utilized to determine the observer gain matrix so that the effect from those nonlinear terms can be well compensated for. By the feature of the basis vector functions of radial basis neural networks (RBF NN), a new observer-based adaptive neural backstepping control design scheme is presented for the switched nonlinear non-strict feedback systems. The multiple Lyapunov method is used to show the stability of the adaptive closed-loop systems. It is also proven that the tracking error converges to a small neighbourhood around the original point under the action of the suggested controllers. Finally, a simulation example is studied to test the efficacy of the suggested control strategies.

Research paper thumbnail of An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

IEEE Transactions on Fuzzy Systems, Jun 1, 2022

Research paper thumbnail of Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties

International Journal of Robust and Nonlinear Control, Oct 1, 2008

This paper considers a delay-dependent and parameter-dependent robust stability criterion for sto... more This paper considers a delay-dependent and parameter-dependent robust stability criterion for stochastic time-delay systems with polytopic uncertainties. The delay-dependent robust stability criterion, as expressed in terms of linear matrix inequalities (LMIs), is obtained by using parameter-dependent Lyapunov functions. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. Numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright

Research paper thumbnail of Static output feedback stabilization for fractional-order systems in T-S fuzzy models

Static output feedback stabilization for fractional-order systems in T-S fuzzy models

Neurocomputing, Dec 1, 2016

Abstract This paper investigates the stabilization problem of fractional-order Takagi-Sugeno (T-S... more Abstract This paper investigates the stabilization problem of fractional-order Takagi-Sugeno (T-S) fuzzy systems via static output feedback control. It provides a direct linear matrix inequality method for the control design, which overcomes the drawback of two-step design approaches and avoids requiring special structures in design matrices. The present method serves as an important alternative for both fractional-order and integer-order systems, and illustrative examples show the merits of the delivered results.

Research paper thumbnail of A new fuzzy filter design for nonlinear continuous-time dynamic systems with time-varying delays

A new fuzzy filter design for nonlinear continuous-time dynamic systems with time-varying delays

Fuzzy Sets and Systems, Dec 1, 2009

ABSTRACT This paper focuses on the problem of H∞ filter design for nonlinear systems with time-va... more ABSTRACT This paper focuses on the problem of H∞ filter design for nonlinear systems with time-varying delays. A new approach of filter design is proposed. The proposed results may improve the existing ones due to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. A sufficient condition for the existence of such a filter is established by using the linear matrix inequality (LMI) approach. Finally, two examples are given to demonstrate the effectiveness and the benefits of the proposed method.

Research paper thumbnail of Neural networks-based command filtering control of nonlinear systems with uncertain disturbance

Information Sciences, Feb 1, 2018

This paper is concerned with neural networks-approximation based command filtering backstepping c... more This paper is concerned with neural networks-approximation based command filtering backstepping control for uncertain strict-feedback nonlinear systems with unknown disturbances. The "explosion of complexity" problem arising from the virtual controllers' derivatives is resolved by utilizing the command filtering technique, and the shortcoming existing in dynamic surface method is properly overcome via an introduced error compensation mechanism (ECM). Moreover, the nonlinear functions of the underlying system are well approximated by exploiting neural networks-based framework. The developed strategy may cover two features with comparison of current achievements: 1) The filtering error can be eliminated in the light of the designed compensating signals; 2) The requirement of adaptive parameters is reduced to only one, which may enhance the control performance for realistic project implementation. At last, an application example in position tracking control of surface permanent magnet synchronous motor (SPMSM) is carried out to further verify the effectiveness and advantages of the theoretical result.

Research paper thumbnail of Robust control of Takagi–Sugeno fuzzy systems with state and input time delays

Fuzzy Sets and Systems, Feb 1, 2009

This paper addresses the robust H ∞ fuzzy control problem for nonlinear uncertain systems with st... more This paper addresses the robust H ∞ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi-Sugeno (T-S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov-Krasoviskii functional method, delay-dependent sufficient conditions for the existence of an H ∞ controller are proposed in linear matrix inequality (LMI) format. Illustrative examples are given to show the effectiveness and merits of the proposed fuzzy controller design methodology.

Research paper thumbnail of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>H</mi><mi mathvariant="normal">∞</mi></msub></mrow><annotation encoding="application/x-tex">H_{\infty} </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-left:-0.0813em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">∞</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> Filter Design for Nonlinear Systems With Time-Delay Through T–S Fuzzy Model Approach

IEEE Transactions on Fuzzy Systems, Jun 1, 2008

This paper is concerned with the filter design for nonlinear systems with time-varying delay via ... more This paper is concerned with the filter design for nonlinear systems with time-varying delay via Takagi-Sugeno fuzzy model approach. Delay-dependent design method is proposed in terms of linear matrix inequalities (LMIs), which forms the main contribution of this paper. The main technique used is the free-weighting matrix method combined with a matrix decoupling approach. The results for rate-independent case, delay-independent case, and delay-free case are also given as easy corollaries. An illustrative example is given to show the effectiveness of the present method.

Research paper thumbnail of Adaptive neural tracking control for a class of stochastic nonlinear systems

International Journal of Robust and Nonlinear Control, Dec 14, 2012

This paper investigates the problem of adaptive neural control design for a class of single-input... more This paper investigates the problem of adaptive neural control design for a class of single-input singleoutput strict-feedback stochastic nonlinear systems whose output is an known linear function. The radial basis function neural networks are used to approximate the nonlinearities, and adaptive backstepping technique is employed to construct controllers. It is shown that the proposed controller ensures that all signals of the closed-loop system remain bounded in probability, and the tracking error converges to an arbitrarily small neighborhood around the origin in the sense of mean quartic value. The salient property of the proposed scheme is that only one adaptive parameter is needed to be tuned online. So, the computational burden is considerably alleviated. Finally, two numerical examples are used to demonstrate the effectiveness of the proposed approach.

Research paper thumbnail of Direct adaptive fuzzy control for nonlinear systems with time-varying delays

Information Sciences, Mar 1, 2010

This paper focuses on the problem of direct adaptive fuzzy control for nonlinear strict-feedback ... more This paper focuses on the problem of direct adaptive fuzzy control for nonlinear strict-feedback systems with time-varying delays. Based on the Razumikhin function approach, a novel adaptive fuzzy controller is designed. The proposed controller guarantees that the system output converges to a small neighborhood of the reference signal and all the signals in the closed-loop system remain bounded. Different from the existing adaptive fuzzy control methodology, the fuzzy logic systems are used to model the desired but unknown control signals rather than the unknown nonlinear functions in the systems. As a result, the proposed adaptive controller has a simpler form and requires fewer adaptation parameters.

Research paper thumbnail of Stability and output feedback control for singular Markovian jump delayed systems

Mathematical Control and Related Fields, 2018

This paper is concerned with the admissibility analysis and control synthesis for a class of sing... more This paper is concerned with the admissibility analysis and control synthesis for a class of singular systems with Markovian jumps and timevarying delay. The basic idea is the use of an augmented Lyapunov-Krasovskii functional together with a series of appropriate integral inequalities. Sufficient conditions are established to ensure the systems to be admissible. Moreover, control design via static output feedback (SOF) is derived to achieve the stabilization for singular systems. A new algorithm is built to solve the SOF controllers. Examples are given to show the effectiveness of the proposed method.

Research paper thumbnail of Direct Adaptive Fuzzy-Based Robust Control Design for Uncertain Nonlinear Stochastic Systems

Direct Adaptive Fuzzy-Based Robust Control Design for Uncertain Nonlinear Stochastic Systems

ICIC express letters. an international journal of research and surveys. Part B, Applications, Aug 1, 2012

Research paper thumbnail of Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay

Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay

International Journal of Systems Science, May 2, 2022

Research paper thumbnail of Fuzzy filtering based on decentralized adaptive event-triggered scheme for networked interconnected systems

Fuzzy filtering based on decentralized adaptive event-triggered scheme for networked interconnected systems

Journal of The Franklin Institute-engineering and Applied Mathematics, Sep 1, 2021

Research paper thumbnail of Necessary and sufficient conditions for the dynamic output feedback stabilization of fractional-order systems with order 0 < α < 1

Science China Information Sciences, Apr 2, 2019

Research paper thumbnail of Observer Design for Cyber-Physical Systems With State Delay and Sparse Sensor Attacks

IEEE Access, 2021

This paper studies the problem of the secure state estimation of cyber-physical systems. The syst... more This paper studies the problem of the secure state estimation of cyber-physical systems. The system model we studied is a class of discrete-time systems with state delay and sparse sensor attacks. In the design of the observer, a Projection Operator is utilized to determine the correct attack set, and the gain matrix will be switched accordingly. In this way, the excessive estimation error could be avoided effectively. In addition, based on the generalization of the classical Krasovskii Stability Theorem for stability analysis of time-delay systems, a Lyapunov-Krasovskii functional is chosen and a sufficient condition for the existence of the observer together with its design method is determined. The designed observer overcomes the difficulties caused by state delay and sensor attacks, and has good performance in secure estimation. Finally, two examples are given to verify that the observer can restore the desired estimate in a short time when a sudden attack occurs.

Research paper thumbnail of Nonlinear <tex>$H_{\infty}$</tex> Observer Design for One-Sided Lipschitz Systems with Time-Varying Delay

Nonlinear $H_{\infty}$ Observer Design for One-Sided Lipschitz Systems with Time-Varying Delay

This paper investigates the H∞) observer design problem for a class of nonlinear systems with int... more This paper investigates the H∞) observer design problem for a class of nonlinear systems with interval time-varying delays and satisfying the one-sided Lipschitz condition and the quadratic inner-bounded condition simultaneously. Not only the plants but also the outputs of the systems are subject to time-varying delay and disturbances. By using Free-Matrix-based integral inequality which is tighter than many Wirtinger-based integral inequality and free-weighting matrix technique, together with one-sided Lipschitz condition and quadratic inner-bounded condition, a new and LMI-based conditions of the proposed nonlinear H∞) observer is derived. The resulting nonlinear H∞) observer guarantees asymptotic stability of the estimation error dynamics with a prescribed performance r. Finally, a numerical example is given to shown the effectiveness of the presented approach.

Research paper thumbnail of A novel adaptive fuzzy control design for a class of strict-feedback stochastic nonlinear systems

A novel adaptive fuzzy control design for a class of strict-feedback stochastic nonlinear systems

ABSTRACT In this paper, the problem of adaptive fuzzy control design is investigated for strict-f... more ABSTRACT In this paper, the problem of adaptive fuzzy control design is investigated for strict-feedback stochastic nonlinear systems. Fuzzy logic systems are used to approximate the packaged unknown functions and adaptive backstepping technique is utilized to construct adaptive controller. The proposed controller guarantees that all the signals in the closed-loop system are bounded in probability. The main advantages of the proposed controller lie in that fuzzy basis function vectors are not contained in the proposed controller, which makes the adaptive fuzzy control scheme is very simple. And the proposed controller contains only one adaptive parameter that needs to be updated online. Simulation results further demonstrate the effectiveness of the proposed approach.

Research paper thumbnail of Adaptive event-triggered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.svg"><mml:msub><mml:mi>H</mml:mi><mml:mi>∞</mml:mi></mml:msub></mml:math> fuzzy filter design for nonlinear networked systems via asymmetric LKF approach

Adaptive event-triggered <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si13.svg">mml:msubmml:miHmml:mi∞ fuzzy filter design for nonlinear networked systems via asymmetric LKF approach

Journal of The Franklin Institute-engineering and Applied Mathematics, Aug 1, 2022

Research paper thumbnail of Adaptive neural consensus tracking control for a class of 2-order multi-agent systems with nonlinear dynamics

Neurocomputing, Sep 1, 2020

This paper investigates the problem of finite-time consensus tracking control for a class of 2-or... more This paper investigates the problem of finite-time consensus tracking control for a class of 2-order nonlinear multi-agent systems (MASs). In order to present a consensus control protocol by adaptive neural control approach, a novel fast finite-time stability criterion is first set up, which provides a theoretical basis for applying approximation-based adaptive control approaches to solve the finite-time control issues. Furthermore, an adaptive neural fast finite-time consensus tracking controller is constructed based on the developed finite-time stability criterion. The suggested adaptive neural backstepping control design scheme successfully avoids the problem of singularity of controllers. Under the action of the presented protocol, the output of each follower tracks the reference signal and other signals of the closedloop system remain bounded in finite time. The efficacy of the proposed control scheme is confirmed by simulation study.

Research paper thumbnail of Output-feedback control design for switched nonlinear systems: Adaptive neural backstepping approach

Information Sciences, Aug 1, 2018

The tracking control is addressed for switched nonlinear systems with arbitrary switchings by ada... more The tracking control is addressed for switched nonlinear systems with arbitrary switchings by adaptive neural approach via output feedback. The switched systems under consideration are composed of some subsystems in non-strict -feedback form. It is assumed that all the system state variables are unavailable, but the output variable is measurable. A switched nonlinear observer is set up to estimate those unmeasurable state variables. Convex combination method is utilized to determine the observer gain matrix so that the effect from those nonlinear terms can be well compensated for. By the feature of the basis vector functions of radial basis neural networks (RBF NN), a new observer-based adaptive neural backstepping control design scheme is presented for the switched nonlinear non-strict feedback systems. The multiple Lyapunov method is used to show the stability of the adaptive closed-loop systems. It is also proven that the tracking error converges to a small neighbourhood around the original point under the action of the suggested controllers. Finally, a simulation example is studied to test the efficacy of the suggested control strategies.

Research paper thumbnail of An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

An Asymmetric Lyapunov–Krasovskii Functional Method on Stability and Stabilization for T-S Fuzzy Systems With Time Delay

IEEE Transactions on Fuzzy Systems, Jun 1, 2022

Research paper thumbnail of Delay-dependent robust stability for stochastic time-delay systems with polytopic uncertainties

International Journal of Robust and Nonlinear Control, Oct 1, 2008

This paper considers a delay-dependent and parameter-dependent robust stability criterion for sto... more This paper considers a delay-dependent and parameter-dependent robust stability criterion for stochastic time-delay systems with polytopic uncertainties. The delay-dependent robust stability criterion, as expressed in terms of linear matrix inequalities (LMIs), is obtained by using parameter-dependent Lyapunov functions. It is shown that the result derived by a parameter-dependent Lyapunov functional is less conservative. Numerical examples are provided to illustrate the effectiveness of the proposed method. Copyright

Research paper thumbnail of Static output feedback stabilization for fractional-order systems in T-S fuzzy models

Static output feedback stabilization for fractional-order systems in T-S fuzzy models

Neurocomputing, Dec 1, 2016

Abstract This paper investigates the stabilization problem of fractional-order Takagi-Sugeno (T-S... more Abstract This paper investigates the stabilization problem of fractional-order Takagi-Sugeno (T-S) fuzzy systems via static output feedback control. It provides a direct linear matrix inequality method for the control design, which overcomes the drawback of two-step design approaches and avoids requiring special structures in design matrices. The present method serves as an important alternative for both fractional-order and integer-order systems, and illustrative examples show the merits of the delivered results.

Research paper thumbnail of A new fuzzy filter design for nonlinear continuous-time dynamic systems with time-varying delays

A new fuzzy filter design for nonlinear continuous-time dynamic systems with time-varying delays

Fuzzy Sets and Systems, Dec 1, 2009

ABSTRACT This paper focuses on the problem of H∞ filter design for nonlinear systems with time-va... more ABSTRACT This paper focuses on the problem of H∞ filter design for nonlinear systems with time-varying delays. A new approach of filter design is proposed. The proposed results may improve the existing ones due to estimate the upper bound of the derivative of Lyapunov functional without ignoring some useful terms. A sufficient condition for the existence of such a filter is established by using the linear matrix inequality (LMI) approach. Finally, two examples are given to demonstrate the effectiveness and the benefits of the proposed method.

Research paper thumbnail of Neural networks-based command filtering control of nonlinear systems with uncertain disturbance

Information Sciences, Feb 1, 2018

This paper is concerned with neural networks-approximation based command filtering backstepping c... more This paper is concerned with neural networks-approximation based command filtering backstepping control for uncertain strict-feedback nonlinear systems with unknown disturbances. The "explosion of complexity" problem arising from the virtual controllers' derivatives is resolved by utilizing the command filtering technique, and the shortcoming existing in dynamic surface method is properly overcome via an introduced error compensation mechanism (ECM). Moreover, the nonlinear functions of the underlying system are well approximated by exploiting neural networks-based framework. The developed strategy may cover two features with comparison of current achievements: 1) The filtering error can be eliminated in the light of the designed compensating signals; 2) The requirement of adaptive parameters is reduced to only one, which may enhance the control performance for realistic project implementation. At last, an application example in position tracking control of surface permanent magnet synchronous motor (SPMSM) is carried out to further verify the effectiveness and advantages of the theoretical result.

Research paper thumbnail of Robust control of Takagi–Sugeno fuzzy systems with state and input time delays

Fuzzy Sets and Systems, Feb 1, 2009

This paper addresses the robust H ∞ fuzzy control problem for nonlinear uncertain systems with st... more This paper addresses the robust H ∞ fuzzy control problem for nonlinear uncertain systems with state and input time delays through Takagi-Sugeno (T-S) fuzzy model approach. The delays are assumed to be interval time-varying delays, and no restriction is imposed on the derivative of time delay. Based on Lyapunov-Krasoviskii functional method, delay-dependent sufficient conditions for the existence of an H ∞ controller are proposed in linear matrix inequality (LMI) format. Illustrative examples are given to show the effectiveness and merits of the proposed fuzzy controller design methodology.

Research paper thumbnail of <span class="katex"><span class="katex-mathml"><math xmlns="http://www.w3.org/1998/Math/MathML"><semantics><mrow><msub><mi>H</mi><mi mathvariant="normal">∞</mi></msub></mrow><annotation encoding="application/x-tex">H_{\infty} </annotation></semantics></math></span><span class="katex-html" aria-hidden="true"><span class="base"><span class="strut" style="height:0.8333em;vertical-align:-0.15em;"></span><span class="mord"><span class="mord mathnormal" style="margin-right:0.08125em;">H</span><span class="msupsub"><span class="vlist-t vlist-t2"><span class="vlist-r"><span class="vlist" style="height:0.1514em;"><span style="top:-2.55em;margin-left:-0.0813em;margin-right:0.05em;"><span class="pstrut" style="height:2.7em;"></span><span class="sizing reset-size6 size3 mtight"><span class="mord mtight"><span class="mord mtight">∞</span></span></span></span></span><span class="vlist-s">​</span></span><span class="vlist-r"><span class="vlist" style="height:0.15em;"><span></span></span></span></span></span></span></span></span></span> Filter Design for Nonlinear Systems With Time-Delay Through T–S Fuzzy Model Approach

IEEE Transactions on Fuzzy Systems, Jun 1, 2008

This paper is concerned with the filter design for nonlinear systems with time-varying delay via ... more This paper is concerned with the filter design for nonlinear systems with time-varying delay via Takagi-Sugeno fuzzy model approach. Delay-dependent design method is proposed in terms of linear matrix inequalities (LMIs), which forms the main contribution of this paper. The main technique used is the free-weighting matrix method combined with a matrix decoupling approach. The results for rate-independent case, delay-independent case, and delay-free case are also given as easy corollaries. An illustrative example is given to show the effectiveness of the present method.

Research paper thumbnail of Adaptive neural tracking control for a class of stochastic nonlinear systems

International Journal of Robust and Nonlinear Control, Dec 14, 2012

This paper investigates the problem of adaptive neural control design for a class of single-input... more This paper investigates the problem of adaptive neural control design for a class of single-input singleoutput strict-feedback stochastic nonlinear systems whose output is an known linear function. The radial basis function neural networks are used to approximate the nonlinearities, and adaptive backstepping technique is employed to construct controllers. It is shown that the proposed controller ensures that all signals of the closed-loop system remain bounded in probability, and the tracking error converges to an arbitrarily small neighborhood around the origin in the sense of mean quartic value. The salient property of the proposed scheme is that only one adaptive parameter is needed to be tuned online. So, the computational burden is considerably alleviated. Finally, two numerical examples are used to demonstrate the effectiveness of the proposed approach.

Research paper thumbnail of Direct adaptive fuzzy control for nonlinear systems with time-varying delays

Information Sciences, Mar 1, 2010

This paper focuses on the problem of direct adaptive fuzzy control for nonlinear strict-feedback ... more This paper focuses on the problem of direct adaptive fuzzy control for nonlinear strict-feedback systems with time-varying delays. Based on the Razumikhin function approach, a novel adaptive fuzzy controller is designed. The proposed controller guarantees that the system output converges to a small neighborhood of the reference signal and all the signals in the closed-loop system remain bounded. Different from the existing adaptive fuzzy control methodology, the fuzzy logic systems are used to model the desired but unknown control signals rather than the unknown nonlinear functions in the systems. As a result, the proposed adaptive controller has a simpler form and requires fewer adaptation parameters.

Research paper thumbnail of Stability and output feedback control for singular Markovian jump delayed systems

Mathematical Control and Related Fields, 2018

This paper is concerned with the admissibility analysis and control synthesis for a class of sing... more This paper is concerned with the admissibility analysis and control synthesis for a class of singular systems with Markovian jumps and timevarying delay. The basic idea is the use of an augmented Lyapunov-Krasovskii functional together with a series of appropriate integral inequalities. Sufficient conditions are established to ensure the systems to be admissible. Moreover, control design via static output feedback (SOF) is derived to achieve the stabilization for singular systems. A new algorithm is built to solve the SOF controllers. Examples are given to show the effectiveness of the proposed method.

Research paper thumbnail of Direct Adaptive Fuzzy-Based Robust Control Design for Uncertain Nonlinear Stochastic Systems

Direct Adaptive Fuzzy-Based Robust Control Design for Uncertain Nonlinear Stochastic Systems

ICIC express letters. an international journal of research and surveys. Part B, Applications, Aug 1, 2012

Research paper thumbnail of Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay

Asymmetric Lyapunov–Krasovskii functional method for admissibility analysis and stabilisation of T-S fuzzy singular systems with time delay

International Journal of Systems Science, May 2, 2022

Research paper thumbnail of Fuzzy filtering based on decentralized adaptive event-triggered scheme for networked interconnected systems

Fuzzy filtering based on decentralized adaptive event-triggered scheme for networked interconnected systems

Journal of The Franklin Institute-engineering and Applied Mathematics, Sep 1, 2021

Research paper thumbnail of Necessary and sufficient conditions for the dynamic output feedback stabilization of fractional-order systems with order 0 < α < 1

Science China Information Sciences, Apr 2, 2019