STABILIZABILITY OF A CLASS OF NONLINEAR SYSTEMS USING HYBRID CONTROLLERS
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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.
Share and Cite
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
Keywords
- Hybrid systems
- Switched systems
- Stabilizability
- Switched control
- Impulsive control
- Synchronous switching
- State-dependent switching
- Dwell-time switching.
MSC
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