Journal
NEUROCOMPUTING
Volume 175, Issue -, Pages 392-400Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.neucom.2015.10.071
Keywords
Nonlinear stochastic systems; Sliding mode control; Markovian switching; Almost surely exponential stability
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Funding
- National Natural Science Foundation of China [61134009, 61329301]
- Royal Society of the U.K.
- Alexander von Humboldt Foundation of Germany
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This paper investigates the almost sure H-infinity sliding mode control (SMC) problem for nonlinear stochastic systems with Markovian switching and time-delays. An integral sliding surface is first constructed for the addressed system. Then, by employing the stopping time method combined with martingale inequalities, sufficient conditions are established to ensure the almost surely exponential stability and the H-infinity performance of the system dynamics in the specified sliding surface. A SMC law is designed to guarantee the reachability of the specified sliding surface almost surely. Furthermore, the obtained results are applied to a class of special nonlinear stochastic systems with Markovian switching and time-delays, where the desired SMC law is obtained in terms of the solutions to a set of matrix inequalities. Finally, a numerical example is given to show the effectiveness of the proposed SMC scheme. (C) 2015 Elsevier B.V. All rights reserved.
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