STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS


Authors

XINZHI LIU - Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Waterloo, Canada. PETER STECHLINSKI - Department of Applied Mathematics, University of Waterloo, Ontario N2L 3G1, Waterloo, Canada.


Abstract

This paper develops hybrid control strategies for stabilizing a class of nonlinear systems. Common Lyapunov functions and switched Lyapunov functions are used to establish easily verifiable criteria for the stabilizability of weakly nonlinear systems under switched and impulsive control. Three types of controller switching rules are studied: time-dependent (synchronous), state-dependent (asynchronous) and average dwell-time satisfying. Conditions are developed for stabilizability under arbitrary switching, as well as less strict conditions for prespecified switching rules. Examples are given, with simulations, to illustrate the theorems developed.


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ISRP Style

XINZHI LIU, PETER STECHLINSKI, STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 3, 203-221

AMA Style

LIU XINZHI, STECHLINSKI PETER, STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS. J. Nonlinear Sci. Appl. (2010); 3(3):203-221

Chicago/Turabian Style

LIU , XINZHI, STECHLINSKI, PETER. "STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS." Journal of Nonlinear Sciences and Applications, 3, no. 3 (2010): 203-221


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