Journal of Northeastern University Natural Science ›› 2017, Vol. 38 ›› Issue (4): 457-461.DOI: 10.12068/j.issn.1005-3026.2017.04.001

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Resilient Controller for Markov Switching Systems Under Generally Uncertain Transition Rate

LIAN Lian, GAO Xian-wen, QI Wen-hai   

  1. School of Information Science & Engineering, Northeastern University, Shenyang 110819, China.
  • Received:2016-03-30 Revised:2016-03-30 Online:2017-04-15 Published:2017-04-11
  • Contact: LIAN Lian
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Abstract: The problem of resilient controller design for stochastic time-delayed Markov switching systems was investigated. Transition rate of the system is generally uncertain, which is more general than the completely known rate and the partly known rate. By full considering features between each element in the generally uncertain transition matrix, a mode-dependent Lyapunov-Krasovskii functional was established, and a resilient controller was designed to ensure that the closed-loop system was stochastically stable for the Markov switching systems. A set of linear matrix inequalities (LMIs) was solved to get controller gain matrix. Finally, a numerical example was given to demonstrate the effectiveness of the results.

Key words: Markov switching systems, mode-dependent, generally uncertain transition rate, stochastic stability, resilient controller

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