Journal
SYSTEMS & CONTROL LETTERS
Volume 60, Issue 8, Pages 531-539Publisher
ELSEVIER
DOI: 10.1016/j.sysconle.2011.04.007
Keywords
Average dwell time; Mean-square exponential stability; Sliding mode control (SMC); Stochastic systems; Switched systems
Funding
- National Natural Science Foundation of China [60804002]
- Natural Science Foundation of Heilongjiang Province of China [QC2009C58, F201002]
- Program for New Century Excellent Talents in University [NCET-09-0063]
- Chinese National Post-doctor Science Foundation [20090460892, 201003449]
- Fundamental Research Funds for the Central Universities [HIT.BRET2.2010011]
- Guangdong Provincial High Technology Industrialization Project [2010B010700025]
- CityU [7008114]
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This paper is concerned with the sliding mode control (SMC) of a continuous-time switched stochastic system. A sufficient condition for the existence of reduced-order sliding mode dynamics is derived and an explicit parametrization of the desired sliding surface is also given. Then, a sliding mode controller is then synthesized for reaching motion. Moreover, the observer-based SMC problem is also investigated. Some sufficient conditions are established for the existence and the solvability of the desired observer and the observer-based sliding mode controller is synthesized. Finally, numerical examples are provided to illustrate the effectiveness of the proposed theory. (C) 2011 Elsevier B.V. All rights reserved.
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