Transient Improvement of Variable Structure Controlled Systems Via Multi-Model Switching Control

A solution is presented in this note to the problem of improving the transient response of a MIMO nonlinear system driven by a VSC law, in the presence of large plant uncertainties. The proposed control scheme is given interms of a supervisor and of a deterministic time-varying compensator, built using sliding-mode control and assuming a finite number of possible different configurations. The task of the supervisor is that of guiding the scanning among the elements of the family, according to a suitably defined experimental test. The proposed approach noticeably improves the performances of sliding-mode control in the presence of large plant uncertainties, and has the substantial advantage of a great simplicity of design and implementation. Moreover, even in case of a large number of configurations constituting the stabilizing family, it has been shown to be able to attain the stabilizing controller in an arbitrarily small time interval. Another appealing feature of the paper consists in the inclusion of an intelligent adaptation scheme in the control algorithm.

[1]  G. Goodwin,et al.  Hysteresis switching adaptive control of linear multivariable systems , 1994, IEEE Trans. Autom. Control..

[2]  Weibing Gao,et al.  Discrete-time variable structure control systems , 1995, IEEE Trans. Ind. Electron..

[3]  P. Kokotovic,et al.  Adaptive nonlinear control with nonlinear swapping , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.

[4]  Kumpati S. Narendra,et al.  Adaptive control using multiple models , 1997, IEEE Trans. Autom. Control..

[5]  D. Mayne,et al.  Design issues in adaptive control , 1988 .

[6]  Riccardo Marino,et al.  Nonlinear control design , 1995 .

[7]  Petar V. Kokotovic,et al.  Systematic design of adaptive controllers for feedback linearizable systems , 1991 .

[8]  Kumpati S. Narendra,et al.  Improving transient response of adaptive control systems using multiple models and switching , 1994 .

[9]  HEBERTT SIRA-RAMIREZ,et al.  ADAPTIVE DYNAMICAL FEEDBACK REGULATION STRATEGIES FOR LINEARIZABLE UNCERTAIN SYSTEMS , 1991 .

[10]  Maria Letizia Corradini,et al.  Robust stabilization of a class of nonlinear systems via multiple model sliding-mode control , 2000, Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334).

[11]  Maria Letizia Corradini,et al.  Robust stabilization of interval plants via an intelligent time-varying control scheme , 1999 .

[12]  A. Annaswamy,et al.  Adaptive control of nonlinear systems with a triangular structure , 1994, IEEE Trans. Autom. Control..

[13]  Kumpati S. Narendra,et al.  A combined direct, indirect, and variable structure method for robust adaptive control , 1992 .

[14]  Chiang-Cheng Chiang,et al.  Dynamic sliding mode adaptive controller for nonlinear systems with higher-order and unmatched uncertainties , 1999, IEEE SMC'99 Conference Proceedings. 1999 IEEE International Conference on Systems, Man, and Cybernetics (Cat. No.99CH37028).

[15]  A. Morse,et al.  Applications of hysteresis switching in parameter adaptive control , 1992 .

[16]  Alexander S. Poznyak,et al.  Neural adaptive control of two-link manipulator with sliding mode compensation , 1999, Proceedings 1999 IEEE International Conference on Robotics and Automation (Cat. No.99CH36288C).

[17]  Antonella Ferrara,et al.  Properties of a combined adaptive/second-order sliding mode control algorithm for some classes of uncertain nonlinear systems , 2000, IEEE Trans. Autom. Control..

[18]  Randy A. Freeman,et al.  Robust Nonlinear Control Design , 1996 .

[19]  A. Morse Supervisory control of families of linear set-point controllers Part I. Exact matching , 1996, IEEE Trans. Autom. Control..

[20]  G. Feng,et al.  An adaptive fuzzy controller based on sliding mode for robot manipulators , 1999, IEEE Trans. Syst. Man Cybern. Part B.

[21]  Kumpati S. Narendra,et al.  Adaptation and learning using multiple models, switching, and tuning , 1995 .

[22]  A. Morse,et al.  A cyclic switching strategy for parameter-adaptive control , 1994, IEEE Trans. Autom. Control..

[23]  B. Barmish,et al.  Adaptive stabilization of linear systems via switching control , 1986, 1986 25th IEEE Conference on Decision and Control.

[24]  S. Sankaranarayanan,et al.  Adaptive variable structure control of a class of nonlinear systems with nonvanishing perturbations via backstepping , 1999, Proceedings of the 1999 American Control Conference (Cat. No. 99CH36251).

[25]  Xi Yugeng,et al.  Adaptive fuzzy sliding mode control for a class of uncertain dynamic systems , 2000, Proceedings of the 3rd World Congress on Intelligent Control and Automation (Cat. No.00EX393).