Switching control of Hinfinity gain scheduled controllers in uncertain nonlinear systems

In this paper, we propose a switched H"~ gain scheduled controller for uncertain nonlinear systems with exogenous signals. Each controller is constructed at a distinct and fixed value of exogenous signals using H"~ synthesis methodology. Then the constructed controller set is switched according to the proposed switching scheme for the wide range of variation of exogenous signals. Moreover, it is shown that the switched control system guarantees stability during every switching.

[1]  Sufficient conditions for self-scheduled bounded amplitude control , 1998, Proceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207).

[2]  Michael D. Lemmon,et al.  Bounded amplitude performance of switched LPV systems with applications to hybrid systems , 1999, Autom..

[3]  Wilson J. Rugh,et al.  Analytical Framework for Gain Scheduling , 1990, 1990 American Control Conference.

[4]  Wilson J. Rugh,et al.  Output regulation with derivative information , 1995, IEEE Trans. Autom. Control..

[5]  Jie Huang.  Asymptotic tracking and disturbance rejection in uncertain nonlinear systems , 1995, IEEE Trans. Autom. Control..

[6]  Y.H. Chen,et al.  A New Matching Condition for Robust Control Design , 1993, 1993 American Control Conference.

[7]  Anders Helmersson,et al.  Application of real-/spl mu/ gain scheduling , 1996, Proceedings of 35th IEEE Conference on Decision and Control.

[8]  D. L. Trumper,et al.  Linearizing control of magnetic suspension systems , 1997, IEEE Trans. Control. Syst. Technol..

[9]  J.-T. Lim,et al.  Locally robustable gain scheduling in nonlinear systems with uncertain time varying inputs , 1997, Int. J. Syst. Sci..

[10]  Isaac Kaminer,et al.  A velocity algorithm for the implementation of gain-scheduled controllers , 1995, Autom..

[11]  Michael D. Lemmon,et al.  Safe implementations of supervisory commands , 1998 .

[12]  Jie Huang,et al.  On a nonlinear multivariable servomechanism problem , 1990, Autom..

[13]  Gary J. Balas,et al.  Robust, gain-scheduled control design of a lightly damped plant , 1995, Proceedings of 1995 34th IEEE Conference on Decision and Control.

[14]  P. Gahinet,et al.  A convex characterization of gain-scheduled H∞ controllers , 1995, IEEE Trans. Autom. Control..

[15]  E. Davison,et al.  An adaptive controller which provides Lyapunov stability , 1989 .

[16]  W. Rugh,et al.  An approximation method for the nonlinear servomechanism problem , 1992 .

[17]  R. Decarlo,et al.  Asymptotic Stability of m-Switched Systems using Lyapunov-Like Functions , 1991, 1991 American Control Conference.

[18]  M. Branicky.  Multiple Lyapunov functions and other analysis tools for switched and hybrid systems , 1998, IEEE Trans. Autom. Control..

[19]  Young Chol Kim,et al.  Gain scheduled control of magnetic suspension system , 1994, Proceedings of 1994 American Control Conference - ACC '94.

[20]  J.-T. Lim,et al.  Fast gain scheduling on tracking problems using derivative information , 1997, Autom..

[21]  Jin-Ho Seo,et al.  Design and analysis of the nonlinear feedback linearizing control for an electromagnetic suspension system , 1996, IEEE Trans. Control. Syst. Technol..

[22]  Stanislaw H. Żak,et al.  Practical stabilization of nonlinear/uncertain dynamic systems with bounded controllers , 1995 .