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switched nonlinear system - quadratic stabilization - uniform normal form - zero dynamics - common quadratic Lyapunov function |
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Quadratic stabilization of switched nonlinear systems
DONG YaLi(1) , FAN JiaoJiao(1), MEI ShengWei(2)
(1) School of Science, Tianjin Polytechnic University, Tianjin, 300160, China (2) Department of Electrical Engineering, Tsinghua University, Beijing, 100084, China
In this paper, the problem of quadratic stabilization of multi-input multi-output switched nonlinear systems under an arbitrary switching law is investigated. When switched nonlinear systems have uniform normal form and the zero dynamics of uniform normal form is asymptotically stable under an arbitrary switching law, state feedbacks are designed and a common quadratic Lyapunov function of all the closed-loop subsystems is constructed to realize quadratic stabilizability of the class of switched nonlinear systems under an arbitrary switching law. The results of this paper are also applied to switched linear systems.
Supported partially by the National Natural Science Foundation of China (Grant No. 50525721)