Sliding mode control of Markovian jump systems with incomplete information on time-varying delays and transition rates

Baoping Jiang, Cunchen Gao, Yonggui Kao and Zhen Liu

Applied Mathematics and Computation, 2016, vol. 290, issue C, 66-79

Abstract: This paper is concerned with robust sliding mode control (SMC) for continuous-time Markovian jump delay systems with incomplete transition rates (TRs), the time-varying delays are unclear and just bounded sometimes. Two methods are employed to investigate this control issue. One is movement decomposition method by which reduced-order sliding mode dynamics is obtained; the other is via sliding mode observer and full-order sliding mode dynamics is obtained on the estimation space. In both cases, sufficient conditions are established in terms of a set of coupled linear matrix inequalities (LMIs) to ensure the sliding mode dynamics to be mean-square exponentially stable; moreover, novel sliding mode controllers, which need not full knowledge on time-varying delays, are synthesized to guarantee the reachability of the prescribed sliding surface. Finally, numerical examples are provided to illustrate the effectiveness of the proposed methods.

Keywords: Markovian jump systems; Time-varying delays; Sliding mode control; Incomplete transition rates (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:290:y:2016:i:c:p:66-79

DOI: 10.1016/j.amc.2016.05.038

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