期刊
AUTOMATICA
卷 46, 期 4, 页码 779-783出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2010.01.010
关键词
Markovian jump systems; Sliding mode control (SMC); Singular systems; Stochastic systems
资金
- National Natural Science Foundation of China [60804002, 60834003]
- Natural Science Foundation of Heilongjiang Province of China [QC2009C58]
- Program for New Century Excellent Talents in University [2009CB320600]
- GRF [CityU 101109]
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 L(2) disturbance attenuation performance is analyzed for the sliding mode dynamics. Some related sufficient conditions are also established. (C) 2010 Elsevier Ltd. All rights reserved.
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