Journal of Northeastern University Natural Science ›› 2015, Vol. 36 ›› Issue (4): 457-461.DOI: 10.12068/j.issn.1005-3026.2015.04.001

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Reliable Control for Discrete-Time Markovian Jump Systems with Partly Unknown Transition Probabilities

WANG Jian-hua, ZHANG Qing-ling, PANG Bo   

  1. School of Sciences, Northeastern University, Shenyang 110819, China.
  • Received:2014-04-23 Revised:2014-04-23 Online:2015-04-15 Published:2014-11-07
  • Contact: WANG Jian-hua
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Abstract: Due to the actuator failures and partly unknown transition probabilities, reliable control problem was studied for a class of discrete linear Markovian jump systems. A reliable controller based on the state feedback method was designed to make the closed-loop systems randomly stable not only when all actuators are operational, but also in case of some actuator failures. The solvability condition of controllers could be equivalent to a feasibility problem of coupled linear matrix inequalities(LMIs). A numerical example demonstrated the feasibility and effectiveness of the proposed design.

Key words: Markovian jump systems, reliable control, actuator failure, partly unknown transition probabilities, linear matrix inequality(LMI)

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