Journal of Northeastern University Natural Science ›› 2015, Vol. 36 ›› Issue (2): 153-156.DOI: 10.12068/j.issn.1005-3026.2015.02.001

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Reliable Control for Stochastic Jump Systems with Actuator Failures

YANG Dong, ZHAO Jun   

  1. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang 110819, China.
  • Received:2014-01-05 Revised:2014-01-05 Online:2015-02-15 Published:2014-11-07
  • Contact: YANG Dong
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Abstract: For a class of stochastic jump systems, the reliable control problem is investigated. A key point of this work relaxes the special requirement of completely known transition rates to a more general form, i.e., the transition rates are incomplete, which may lead to less conservativeness. Firstly, for the stochastic jump systems, the sufficient conditions ensuring the stochastic stability are developed. Secondly, the reliable control problem for stochastic jump systems with actuator failures is presented, and a reliable controller is designed. Finally, the design problem can be reduced to a set of LMIs feasibility problem based on the design of reliable controller. A numerical example is given to demonstrate the applicability of the main results.

Key words: stochastic jump system, transition rate, actuator failure, reliable control, stochastic stability

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