Linear Matrix Inequalities Research Papers (original) (raw)

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- Robust control, Controller Design, Power Plant, Control system
- by Chong Lin
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- Engineering, Controller Design, Linear Matrix Inequalities, Mathematical Sciences
- by Peyman Milanfar
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- Cognitive Science, Algorithms, Image Processing, Statistical Analysis
- by Kenneth Loparo
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- Mechanical Engineering, Applied Mathematics, Control Theory, Stability

The dc-dc converters are designed to control the flow of power from an input source for an output source.To this end, it uses circuits composed of switches and others passive elements, which in turn, characterize the mathematical model of the system. Will be proposed to study the Buck-Boost converter, obtaining their respective mathematical modeling in state space in order to analyze its response in steady after simulation of a channel of converter failure. This way, will get an uncertain polytopic type system, which will consist of the following parameter uncertain: assumption actuator failure and duty-cycle switching. The robust stability for this system will be guaranteed by the theorem of Aleksandr Lyapunov, in turn, depends on parameters obtained from a set of linear matrix inequalities (LMIs), which sets the value of the gain state feedback that answer the specification imposed on the system. The electronic circuit closed loop described above will simulate through computational tool of electronic simulation PSIM to verify the behavior of the converter and the designed controller.

- by Soufian Barkati
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- Control Theory, Matrix Theory, Linear Algebra, Uncertainty
- by Mahmoud Fatag
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- Control Theory, Control Systems, Stochastic processes, Linear Matrix Inequalities
- by josé RAGOT
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- Fuzzy Control, Fault Tolerance, Linear Matrix Inequalities, First-Order Logic
- by Shahid Qaisar
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- Linear Matrix Inequalities
- by Shai Arogeti
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- Engineering, Technology, Vehicle Dynamics, Convergence
- by Jesus Martinez
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- Vehicle Dynamics, Stability, Control system, Linear Matrix Inequalities
- by lin xiao
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- Applied Mathematics, Convex Optimization, Linear Matrix Inequalities, Least Squares
- by jhon forero
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- Stability, Linear Matrix Inequalities, Observability, Inverted Pendulum
- by Levin Kuhlmann
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- Neuroscience, Mathematics, Computer Science, Publishing

The paper proposes a novel H∞ load frequency control (LFC) design method for multi-area power systems based on an integral-based non-fragile distributed fixed-order dynamic output feedback (DOF) tracking-regulator control scheme. To this end, we consider a nonlinear interconnected model for multi-area power systems which also include uncertainties and time-varying communication delays. The design procedure is formulated using semi-definite programming and linear matrix inequality (LMI) method. The solution of the proposed LMIs returns necessary parameters for the tracking controllers such that the impact of model uncertainty and load disturbances are minimized. The proposed controllers are capable of receiving all or part of subsystems information, whereas the outputs of each controller are local. These controllers are designed such that the resilient stability of the overall closed-loop system is guaranteed. Simulation results are provided to verify the effectiveness of the proposed scheme. Simulation results quantify that the distributed (and decentralized) controlled system behaves well in presence of large parameter perturbations and random disturbances on the power system.

- by Levin Kuhlmann
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- Neuroscience, Mathematics, Computer Science, Publishing
- by josé RAGOT
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- Fuzzy Systems, Stability, Optimization Problem, Actuators
- by Chaouki Abdallah
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- Engineering, Game Theory, Computational Complexity, Control Engineering
- by Khaled Zehar
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- Robust control, Controller Design, Linear Matrix Inequalities, Fuzzy System
- by Khaled Zehar
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- Robust control, Controller Design, Linear Matrix Inequalities, Fuzzy System
- by L. Menhour and +1
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- Vehicle Dynamics, Motion control, Linear Matrix Inequalities, Interpolation
- by Honghai Liu
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- Applied Mathematics, Vehicle Dynamics, Controller Design, Fuzzy Control
- by Mahmoud Fatag
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- Mechanical Engineering, Applied Mathematics, Controller Design, Control Systems

Describes a direct way to solve the robust output feedback stabilization problem for a class of uncertain nonlinear systems with nonlinear parameterization using the backstepping technique. The backstepping method is performed in a batch way rather than recursively. The paper begins with the stabilization of a system containing a series of integrators with unknown gains. The solution of the problem is then used to solve the output feedback stabilization problem of the nonlinear system

- by Ray Eaton
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- Convex Optimization, Robust control, Control Systems, Linear Matrix Inequalities
- by Huiwei Wang
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- Engineering, Linear Programming, Neural Networks, Neural Network
- by Trung Ngô
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- Mathematics, Algebraic Geometry, Graph Theory, Pure Mathematics

This paper investigates the stability of fuzzy-model-based (FMB) control systems. An alternative stability-analysis approach using an artificial fuzzy system based on the Lyapunov stability theory is proposed. To facilitate the stability analysis, the continuous membership functions of the Takagi-Sugeno (T-S) fuzzy model are represented by the staircase ones. With the nice property of the staircase membership functions, it turns the set of infinite number of linear-matrix-inequality (LMI) based stability conditions into a finite one. Furthermore, the staircase membership functions carrying system information can be brought to the stability conditions to relax the stability conditions. The stability of the original FMB control systems is guaranteed by the satisfaction of the LMI-based stability conditions. The proposed stability analysis is applied to the FMB control systems of which the T-S fuzzy model and fuzzy controller do not share the same premise membership functions and, thus, is able to enhance the design flexibility of the fuzzy controller. A simulation example is given to illustrate the merits of the proposed approach.

- by H.K. Lam
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- Applied Mathematics, Stability, Control Systems, Fuzzy Control
- by Heng Wang
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- Fault Detection, Control system, Linear Matrix Inequalities, Tracking
- by Jaime A Moreno
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- Convergence, Stability, Linear Matrix Inequalities, Riccati Equation

In this paper we derive stabilization conditions for the class of PWA systems using the linear matrix inequality (LMI) framework.,We consider the class of piecewise affine feedback,controllers and the class of piecewise quadr atic Lyapunov functions that guarantee stability of the closed-loop system. We take into account the piecewise structure of the system and therefore the matrix inequalities that

- by M. Lazar and +1
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- Linear Matrix Inequalities, Lyapunov function, Upper Bound, Boolean Satisfiability
- by Bhau Anarase
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- Engineering, Model Predictive Control, Controller Design, Optimization Problem

Control and state estimation of nonlinear systems satisfying a Lipschitz continuity condition have been important topics in nonlinear system theory for over three decades, resulting in a substantial amount of literature. The main criticism behind this approach, however, has been the restrictive nature of the Lipschitz continuity condition and the conservativeness of the related results. This work deals with an extension to this problem by introducing a more general family of nonlinear functions, namely one-sided Lipschitz functions. The corresponding class of systems is a superset of its well-known Lipschitz counterpart and possesses inherent advantages with respect to conservativeness. In this paper, first the problem of state observer design for this class of systems is established, the challenges are discussed and some analysis-oriented tools are provided. Then, a solution to the observer design problem is proposed in terms of nonlinear matrix inequalities which in turn are converted into numerically efficiently solvable linear matrix inequalities.

- by Masoud Abbaszadeh
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- Engineering, Mechanical Engineering, Applied Mathematics, State Estimation
- by Arye Nehorai
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- Signal Processing, Compressed Sensing, Algorithm, Compressive Sensing
- by raja r
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- Mechanical Engineering, Applied Mathematics, Linear Matrix Inequalities, Linear Systems
- by josé RAGOT
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- Vehicle Dynamics, Fault Detection, Automation & COntrol, Convergence

This paper deals with large scale Takagi-Sugeno (T-S) systems stabilization based on a decentralized Static Output Feedback (SOF) non-PDC control scheme. To do so, the overall closed loop dynamics is written using a descriptor redundancy formulation. The latter allows avoiding crossing terms between the controller's and the system's matrices. Thus, based on a multiple Fuzzy Lyapunov candidate function and a H-infinity criterion, employed to minimize the effects of the interconnections between subsystems, a LMI based design methodology is proposed. Finally, an academic example illustrates the efficiency of the proposed approach.

- by Kevin Guelton
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- Fuzzy Systems, Controller Design, Linear Matrix Inequalities, Nonlinear Systems
- by Benjamin Friedlander
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- Multidisciplinary, Linear Matrix Inequalities, Noise, Computer Simulation

For neural networks with constant or time-varying delays, the problems of determining the exponential stability and estimating the exponential convergence rate are studied in this paper. An approach combining the Lyapunov–Krasovskii functionals with the linear matrix inequality is taken to investigate the problems, which provide bounds on the interconnection matrix and the activation functions, so as to guarantee the systems' exponential stability. Some criteria for the exponentially stability, which give information on the delay-dependence property, are derived. The results obtained in this paper provide one more set of easily verified guidelines for determining the exponentially stability of delayed neural networks, which are less conservative and less restrictive than the ones reported so far in the literature.

- by Edgar Sánchez
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- Engineering, Applied Mathematics, Algorithms, Artificial Intelligence

This paper proposes a min-max design of noise-shaping delta-sigma modulators. We first characterize the all stabilizing loop-filters for a linearized modulator model. By this characterization, we formulate the design problem of lowpass, bandpass, and multi-band modulators as minimization of the maximum magnitude of the noise transfer function (NTF) in fixed frequency band(s). We show that this optimization minimizes the worst-case reconstruction error, and hence improves the SNR (signal-to-noise ratio) of the modulator. The optimization is reduced to an optimization with a linear matrix inequality (LMI) via the generalized KYP (Kalman-Yakubovich-Popov) lemma. The obtained NTF is an FIR (finite-impulse-response) filter, which is favorable in view of implementation. We also derive a stability condition for the nonlinear model of delta-sigma modulators with general quantizers including uniform ones. This condition is described as an H-infinity norm condition, which is reduced to an LMI via the KYP lemma. Design examples show advantages of our design.

- by Masaaki Nagahara
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- Multidisciplinary, Optimization, Linear Matrix Inequalities, Quantization
- by B. Shafai
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- Mathematics, Computer Science, Linear Programming, Stability

This paper investigates the control and synchronization of the shunted nonlinear resistive-capacitive-inductance junction (RCLSJ) model under the condition of noise disturbance with only one single controller. Based on the sliding mode control method, the controller is designed to eliminate the chaotic behavior of Josephson junctions and realize the achievement of global asymptotic synchronization of coupled system. Numerical simulation results are presented to demonstrate the validity of the proposed method. The approach is simple and easy to implement and provides reference for chaos control and synchronization in relevant systems.

- by U Vincent
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- Materials Engineering, Mathematics, Condensed Matter Physics, Synchronization
- by Paola Falugi
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- Mechanical Engineering, Applied Mathematics, Convex Optimization, Robust control