Output feedback stabilization of switched stochastic nonlinear systems under arbitrary switchings |
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Authors: | Xiao-Ling Liang Ming-Zhe Hou Guang-Ren Duan |
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Affiliation: | 1. Center for Control Theory and Guidance Technology, Harbin Institute of Technology, Harbin, 150001, China
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Abstract: | This paper is concerned with the problem of global output feedback stabilization in probability for a class of switched stochastic nonlinear systems under arbitrary switchings. The subsystems are assumed to be in output feedback form and driven by white noise. By introducing a common Lyapunov function, the common output feedback controller independent of switching signals is constructed based on the backstepping approach. It is proved that the zero solution of the closed-loop system is fourth-moment exponentially stable. An example is given to show the effectiveness of the proposed method. |
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Keywords: | Stochastic nonlinear system switched nonlinear system output feedback under arbitrary switchings moment expo-nential stability. |
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