论文信息 - A NOTE ON ROBUST STABILIZATION OF FEEDBACK LINEARIZABLE SYSTEMS

A NOTE ON ROBUST STABILIZATION OF FEEDBACK LINEARIZABLE SYSTEMS

The problem of robust stabilization of nonlinear systems with feedback linearizable nominal part and norm-bounded nonlinear uncertainties is investigated. Necessary and sufficient conditions are obtained for robust stabilization of such systems. A design procedure is developed which combines feedback linearization technique and quadratic stabilization via linear feedback to achieve robust global asymptotic stability. © 1997 by John Wiley & Sons, Ltd.

[1] Alberto Isidori,et al. A necessary condition for nonlinear H ∞ control via measurement feedback , 1994 .

[2] I. Petersen. A stabilization algorithm for a class of uncertain linear systems , 1987 .

[3] L. Wang,et al. Coordinate transformation in back-stepping design , 1994, Proceedings of 1994 33rd IEEE Conference on Decision and Control.

[4] G. Zames. On the input-output stability of time-varying nonlinear feedback systems--Part II: Conditions involving circles in the frequency plane and sector nonlinearities , 1966 .

[5] J. Helton,et al. A factorization principle for stabilization of linear control systems , 1991 .

[6] A. Schaft. On a state space approach to nonlinear H ∞ control , 1991 .

[7] P. Khargonekar,et al. Robust stabilization of linear systems with norm-bounded time-varying uncertainty , 1988 .

[8] P. Khargonekar,et al. Robust stabilization of uncertain linear systems: quadratic stabilizability and H/sup infinity / control theory , 1990 .

[9] J. W. Helton,et al. Piecewise Riccati equations and the bounded real lemma , 1993, Proceedings of 32nd IEEE Conference on Decision and Control.