Robust parallel compensator design for output feedback stabilization of plants with structured uncertainty

Abstract This paper deals with a design problem of robust parallel compensator which guarantees the existence of a constant gain output feedback controller for plants with structured uncertainty. First, robust design conditions of such a compensator are derived by using Kharitonov’s Theorem. Then, based on conditions provided, the parallel compensator is designed by utilizing the maximal range of interval perturbations of the plant. A numerical example is given to demonstrate the validity of the results.

[1]  J. Wen Time domain and frequency domain conditions for strict positive realness , 1988 .

[2]  Ikuro Mizumoto,et al.  Simplified adaptive model output following control for plants with unmodelled dynamics , 1996 .

[3]  Ezra Zeheb,et al.  A sufficient condition of output feedback stabilization of uncertain systems , 1986 .

[4]  M. Tomizuka,et al.  Robust adaptive nonlinear control with guaranteed transient performance , 1995, Proceedings of 1995 American Control Conference - ACC'95.

[5]  I. Bar-Kana Positive-realness in multivariable stationary linear systems , 1991 .

[6]  Iven Mareels,et al.  A simple selftuning controller for stably invertible systems , 1984 .

[7]  Alexander L. Fradkov Adaptive stabilization of minimal-phase vector-input objects without output derivative measurements , 1994 .

[8]  Mingcong Deng,et al.  A Parallel Feedforward Compensator for MIMO Plants Virtually Realizing an Almost Strictly Positive Real Plant , 1996 .

[9]  M. Corless,et al.  Output feedback stabilization of uncertain dynamical systems , 1984, The 23rd IEEE Conference on Decision and Control.

[10]  Masayoshi Tomizuka,et al.  Adaptive robust control of SISO nonlinear systems in a semi-strict feedback form , 1997, Autom..

[11]  Zenta Iwai,et al.  Robust and simple adaptive control systems , 1992 .

[12]  Mingcong Deng,et al.  A parallel feedforward compensator virtually realizing almost strictly positive real plant , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[13]  Petros A. Ioannou,et al.  Frequency domain conditions for strictly positive real functions , 1987 .

[14]  Giorgio Bartolini,et al.  Stability and exponential stability of an adaptive control scheme for plants of any relative degree , 1995, IEEE Trans. Autom. Control..

[15]  I. Mizumoto,et al.  Realization of simple adaptive control by using parallel feedforward compensator , 1994 .

[16]  I. Kanellakopoulos,et al.  Adaptive nonlinear control without overparametrization , 1992 .

[17]  I. Bar-Kana Parallel feedforward and simplified adaptive control , 1987 .

[18]  G. Gu Stabilizability conditions of multivariable uncertain systems via output feedback control , 1990 .

[19]  A. Steinberg A sufficient condition for output feedback stabilization of uncertain dynamical systems , 1988 .

[20]  B. Barmish Invariance of the strict Hurwitz property for polynomials with perturbed coefficients , 1983, The 22nd IEEE Conference on Decision and Control.

[21]  Anuradha M. Annaswamy,et al.  Low-order multivariable adaptive control with application to flexible structures , 1996, Autom..