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		Daizhan CHENG,Gang FENG,Zairong XI.[en_title][J].Control Theory and Technology,2006,4(1):53~61.[Copy]

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DaizhanCHENG,GangFENG,ZairongXI
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Received:September 30, 2005Revised:December 09, 2005

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Stabilization of a class of switched nonlinear systems

Daizhan CHENG , Gang FENG , Zairong XI

(Institute of Systems Science, Chinese Academy of Sciences, Beijing 100080, China; Department of Manufacturing Engineering and Engineering Management , City University of HongKong, HongKong)

Abstract:

The stabilization of a class of switched nonlinear systems is investigated in the paper. The systems con- cerned are of (generalized) switched Byrnes-Isidori canonical form, which has all switched models in (generalized) Byrnes- Isidori canonical form. First, a stability result of switched systems is obtained. Then it is used to solve the stabilization prob- lem of the switched nonlinear control systems. In addition, necessary and sufficient conditions are obtained for a switched affine nonlinear system to be feedback equivalent to (generalized) switched Byrnes-Isidori canonical systems are presented. Finally, as an application the stability of switched lorenz systems is investigated.

Key words: Switched nonlinear systems Stabilization Canonical form Common Lyapunov function