Reliable control for interval time-varying delay systems subjected to actuator saturation and stochastic failure

Authors


Zhou Gu, School of Power & Mechanical Engineering, Nanjing Normal University, Nanjing, Jiangsu, China.

E-mail: mylab509@163.com

SUMMARY

This paper is devoted to the problem of reliable control for interval time-varying delay systems subjected to actuator saturation and stochastic failure. A new practical actuator fault model is proposed by assuming that the actuator fault obeys a certain probabilistic distribution. An optimization problem with LMI constraints is formulated to determine the largest contractively invariant ellipsoid. Delay distribution and fault distribution-dependent estimations of the domain of attraction are obtained by using the LMI techniques and an optimization method, such that the mean-square stability of the systems can be guaranteed for given H performance index γ. Two illustrative examples are exploited to show the effectiveness of the proposed design procedures. Copyright © 2011 John Wiley & Sons, Ltd.

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