Sliding mode control of singular stochastic hybrid systems |
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| Authors: | Ligang Wu Daniel W.C. Ho |
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| Affiliation: | a Space Control and Inertial Technology Research Center, Harbin Institute of Technology, Harbin, 150001, PR China
b Department of Mathematics, City University of Hong Kong, Hong Kong, PR China |
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| Abstract: | This paper is concerned with the sliding mode control (SMC) of nonlinear singular stochastic systems with Markovian switching. An integral sliding surface function is designed, and the resulting sliding mode dynamics is a full-order Markovian jump singular stochastic system. By introducing some specified matrices, a new sufficient condition is proposed in terms of strict linear matrix inequality (LMI), which guarantees the stochastic stability of the sliding mode dynamics. Then, a SMC law is synthesized for reaching motion. Moreover, when there exists an external disturbance, the ?2 disturbance attenuation performance is analyzed for the sliding mode dynamics. Some related sufficient conditions are also established. |
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| Keywords: | Markovian jump systems Sliding mode control (SMC) Singular systems Stochastic systems |
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