摘要
This paper considers the reliable control design for T-S fuzzy systems with probabilistic actuators faults and random time-varying delays. The faults of each actuator occurs randomly and its failure rates are governed by a set of unrelated random variables satisfying certain probabilistic distribution. In terms of the probabilistic failures of each actuator and time-varying random delays, new fault model is proposed. Based on the new fuzzy model, reliable controller is designed and sufficient conditions for the exponentially mean square stability （EMSS） of T-S fuzzy systems are derived by using Lyapunov functional method and linear matrix inequality （LMI） technique. It should be noted that the obtained criteria depend on not only the size of the delay, but also the probability distribution of it. Finally, a numerical example is given to show the effectiveness of the proposed method.
This paper considers the reliable control design for T-S fuzzy systems with probabilistic actuators faults and random time-varying delays. The faults of each actuator occurs randomly and its failure rates are governed by a set of unrelated random variables satisfying certain probabilistic distribution. In terms of the probabilistic failures of each actuator and time-varying random delays, new fault model is proposed. Based on the new fuzzy model, reliable controller is designed and sufficient conditions for the exponentially mean square stability （EMSS） of T-S fuzzy systems are derived by using Lyapunov functional method and linear matrix inequality （LMI） technique. It should be noted that the obtained criteria depend on not only the size of the delay, but also the probability distribution of it. Finally, a numerical example is given to show the effectiveness of the proposed method.
基金
Supported by the National Natural Science Foundation of China(No.61403185 and 71301100)
the China Postdoctoral Science Foundation(No.2014M561558 and 2014M551487)
the Postdoctoral Science Foundation of Jiangsu Province(No.1401005A and 1301009A)
major project supported by the Natural Science Foundation of the Jiangsu Higher Education Institutions of China(No.15KJA120001)
six talent peaks project in Jiangsu Province(No.2015-DZXX-021)
Qing-Lan Project,Collaborative Innovation Center for Modern Grain Circulation and Safety
a Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions(PAPD)
Jiangsu Key Laboratory of Modern Logistics(Nanjing University of Finance&Economics)
