Nonsingular Fast Terminal Sliding Mode Control with Extended State Observer and Tracking Differentiator for Uncertain Nonlinear Systems (original) (raw)
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Scientia Iranica, 2017
This paper investigates a novel nonsingular fast terminal sliding-mode control method for the stabilization of the uncertain time-varying and nonlinear thirdorder systems. The designed disturbance observer satis es the nite-time convergence of the disturbance approximation error and the suggested nite-time stabilizer assures the presence of the switching behavior around the switching curve in the nite time. Furthermore, this approach can overcome the singularity problem of the fast terminal sliding-mode control technique. Moreover, knowledge about the upper bounds of the disturbances is not required and the chattering problem is eliminated. Usefulness and e ectiveness of the o ered procedure are con rmed by numerical simulation results.
IEEE Access
This paper proposes a controller-observer strategy for a class of second-order uncertain nonlinear systems with only available position measurement. The third-order sliding mode observer is first introduced to estimate both velocities and the lumped uncertain terms of system with high accuracy, less chattering, and finite time convergency of estimation errors. Then, the proposed controller-observer strategy is designed based on non-singular fast terminal sliding mode sliding control and proposed observer. Thanks to this combination, the proposed strategy has some superior properties such as high tracking accuracy, chattering phenomenon reduction, robustness against the effects of the lumped uncertain terms, velocity measurement elimination, finite time convergence, and faster reaching sliding motion. Especially, two period times, before and after the convergence of the velocity estimation takes place, are considered. The finite time stability of proposed controller-observer method is proved by using the Lyapunov stability theory. Final, the proposed strategy is applied to robot manipulator system and its effectiveness is verified by simulation results, in which a PUMA560 robot manipulator is employed.
Fast second-order sliding mode control design based on lyapunov function
We design a new kind of fast terminal sliding mode controller for second-order uncertain systems with a single control input. In contrast to the reported techniques, which are based on the Terminal Sliding Mode Control, the proposed controller design is based on Lyapunov methods. Sufficient conditions are given to ensure the finite-time stability of the close-loop system with the proposed discontinuous controller. The performance is compared with others Fast Terminal Sliding Mode controllers by means of a simulation example.
Terminal sliding mode control strategy design for second-order nonlinear system
IECON 2012 - 38th Annual Conference on IEEE Industrial Electronics Society, 2012
This study mainly focuses on the terminal sliding mode control (TSMC) strategy design, including an adaptive terminal sliding mode control (ATSMC) and an exact-estimator based terminal sliding mode control (ETSMC) for second-order nonlinear dynamical systems. In the ATSMC system, an adaptive bound estimation for the lump uncertainty is proposed to ensure the system stability. On the other hand, an exact estimator is designed for exact estimating system uncertainties to solve the trouble of chattering phenomena caused by a sign function in ATSMC law in despite of the utilization of a fixed value or an adaptive tuning algorithm for the lumped uncertainty bound. The effectiveness of the proposed control schemes can be verified in numerical simulations.
Isa Transactions, 2018
This paper considers the terminal guidance problem of missiles intercepting maneuvering targets with impact angle constraints. Based on an advanced nonsingular fast terminal sliding mode control scheme and adaptive control, an adaptive nonsingular fast terminal sliding mode guidance law is proposed in the presence of the target acceleration as an unknown bounded external disturbance. In the design procedure, an adaptive law is presented to estimate the unknown upper bound of the external disturbance. Theoretical analysis shows that the proposed guidance law can guarantee the finite-time convergence in both the reaching phase and the sliding phase by applying a Lyapunov-based approach. Numerical simulations are presented to demonstrate the effectiveness of the proposed guidance law. Although the proposed guidance law is developed for the constant speed missiles, by the extensive numerical simulations with a realistic missile model, the performance is shown to be equally good for the varying speed missiles.
Nonsingular fast terminal sliding-mode control for nonlinear dynamical systems
International Journal of Robust and Nonlinear Control, 2010
This paper investigates fast finite-time control of nonlinear dynamics using terminal sliding-mode (TSM) scheme. Some new norms of fast TSM strategies are proposed, and a faster convergence rate is established in comparison with the conventional fast TSM. A novel concept of nonsingular fast TSM, which is able to avoid the possible singularity during the control phase, is adopted in the robust high-precision control of uncertain nonlinear systems. Numerical simulation on a two-link rigid robot manipulator demonstrates the effectiveness of the proposed algorithm.
Journal of the Franklin Institute, 2017
It is well known that the main problem hindering the application of the sliding mode control (SMC) is the chattering effect produced by the use of discontinuous switching control functions. In this paper, a combination of several specialized SMC controllers is proposed in order to solve this problem and obtain high accuracy steady state sliding motions in case of a class of MIMO nonlinear systems with external matched disturbances and plant uncertainty. The developed method uses a disturbance observer, a nominal controller that assumes the cancellation of the disturbance inputs and an error controller that guides the trajectory of the plant states using the nominal response as a tracking reference. The design of the SMC control laws is implemented using an adaptive nonlinear sliding mode definition that creates fast non-overshooting responses over the selected output variables. Numerical simulation results are given to illustrate the effectiveness of the proposed SMC.
Non-singular terminal sliding mode control and its application for robot manipulators
2001
A global non-singular terminal sliding mode controller for second order uncertain nonlinear dynamic systems, which enables enables finite time reachibility and elimination of the singularity problem associated with conventional terminal sliding mode control. The tracking precision problem is also explored. The relationship between the tracking precision and the width of the saturation function used for elimination of chattering is formulated. The proposed controller is then applied to the control of a rigid manipulator. Simulation results are presented to validate the analysis.
2007 46th IEEE Conference on Decision and Control, 2007
An output-feedback sliding mode controller is proposed for a class of single-input-single-output (SISO) uncertain nonlinear systems. The sliding surface is generated using the state of a high gain observer (HGO) while the control signal amplitude is generated from a norm observer free of peaking. The proposed scheme achieves global tracking with respect to a small residual set by means of a time varying observer gain (HGO) synthesized from measurable signals.
Mathematics, 2021
In this study, an adaptive nonsingular finite time control technique based on a barrier function terminal sliding mode controller is proposed for the robust stability of nth-order nonlinear dynamic systems with external disturbances. The barrier function adaptive terminal sliding mode control makes the convergence of tracking errors to a region near zero in the finite time. Moreover, the suggested method does not need the information of upper bounds of perturbations which are commonly applied to the sliding mode control procedure. The Lyapunov stability analysis proves that the errors converge to the determined region. Last of all, simulations and experimental results on a complex new chaotic system with a high Kaplan–Yorke dimension are provided to confirm the efficacy of the planned method. The results demonstrate that the suggested controller has a stronger tracking than the adaptive controller and the results are satisfactory with the application of the controller based on chaot...