期刊
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS
卷 59, 期 7, 页码 3008-3015出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIE.2011.2168791
关键词
Discrete-time delays; infinite distributed delays; randomly occurring nonlinearities (RONs); randomly occurring uncertainties (ROUs); sliding mode control (SMC)
资金
- National Natural Science Foundation of China [61028008, 60825303, 60834003]
- National 973 Project [2009CB320600]
- Fok Ying Tung Education Fund [111064]
- Special Fund for the Author of National Excellent Doctoral Dissertation of China [2007B4]
- Key Laboratory of Integrated Automation for the Process Industry (Northeastern University) from the Ministry of Education of China
- Engineering and Physical Sciences Research Council of the U.K. [GR/S27658/01]
- Royal Society of the U.K.
- Alexander von Humboldt Foundation of Germany
This paper investigates the robust sliding mode control (SMC) problem for a class of uncertain nonlinear stochastic systems with mixed time delays. Both the sectorlike nonlinearities and the norm-bounded uncertainties enter into the system in random ways, and such randomly occurring uncertainties and randomly occurring nonlinearities obey certain mutually uncorrelated Bernoulli distributed white noise sequences. The mixed time delays consist of both the discrete and the distributed delays. The time-varying delays are allowed in state. By employing the idea of delay fractioning and constructing a new Lyapunov-Krasovskii functional, sufficient conditions are established to ensure the stability of the system dynamics in the specified sliding surface by solving a certain semidefinite programming problem. A full-state feedback SMC law is designed to guarantee the reaching condition. A simulation example is given to demonstrate the effectiveness of the proposed SMC scheme.
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