Non-fragile control of uncertain Markovian jumping linear systems subject to actuator saturation

Authors:
Zhiqiang Zuo;Yulong Cui;Yijing Wang;Guoshan Zhang
Affiliations:
Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering & Automation, Tianjin University, Tianjin, P. R. China;Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering & Automation, Tianjin University, Tianjin, P. R. China;Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering & Automation, Tianjin University, Tianjin, P. R. China;Tianjin Key Laboratory of Process Measurement and Control, School of Electrical Engineering & Automation, Tianjin University, Tianjin, P. R. China
Venue:
CCDC'09 Proceedings of the 21st annual international conference on Chinese control and decision conference
Year:
2009

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Abstract

In this paper, the robust stochastic stabilization problem of uncertain Makovian jumping linear systems subject to actuator saturation is considered. The concept of domain of attraction in mean square sense is used to analyze the closed-loop stability. By using a class of stochastic Lyapunov function, a design procedure for the robust and nonfragile state feedback controller is developed based on the linear matrix inequality approach. Finally, a numerical example is provided to show the effectiveness of the method.