Journal of Systems Engineering and Electronics ›› 2010, Vol. 32 ›› Issue (8): 1741-1744.doi: 10.3969/j.issn.1001-506X.2010.08.40

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H∞ reliability control for a class of discrete-time systems with stochastic input delays and failures

GU Zhou1,2, WANG Dao-bo2, TIAN En-gang3, LIU Jin-liang4   

  1. （1. School of Power Engineering, Nanjing Normal Univ., Nanjing 210042, China;
    2. Coll. of Automation Engineering, Nanjing Univ. of Aeronautics and Astronautics, Nanjing 210016, China;
    3. School of Electrical and Automation Engineering, Nanjing Normal Univ., Nanjing 210042, China;
    4. Coll. of Information Science and Technology， Donghua Univ., Shanghai 201620, China)
  • Online:2010-08-13 Published:2010-01-03

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Abstract:

An H∞ reliability control is investigated for a class of discrete-time systems with stochastic input delays and actuator failures. A new practical fault model obeying a certain probability distribution is proposed. Assuming that the input delays obey a homogenous Markovian chain and utilizing the historic information of the controllers, an augmented Markov jump system (MJS) is developed. By applying Lyapunov stability theory and linear matrix inequality (LMI) technology, the sufficient conditions is given for the existence of  H∞ reliability control based on fault distribution dependence with mean square stableness. An illustrative example is exploited to show the effectiveness of the proposed design procedureness.

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