文献类型：期刊文献

英文题名：Reliable Control of Fuzzy Singularly Perturbed Systems and Its Application to Electronic Circuits

作者：Wang, Yueying[1];Shi, Peng[2];Yan, Huaicheng[3,4]

机构：[1]Shanghai Jiao Tong Univ, Sch Aeronaut & Astronaut, Shanghai 200240, Peoples R China;[2]Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia;[3]East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China;[4]Hubei Normal Univ, Coll Mechatron & Control Engn, Huangshi 435002, Peoples R China

年份：2018

卷号：65

期号：10

起止页码：3519

外文期刊名：IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS

收录：;EI(收录号：20182505336728);WOS:【SCI-EXPANDED(收录号:WOS:000444025900034)】；

基金：This work was supported in part by the National Natural Science Foundation of China under Grants 61703275 and 61673178, in part by the Australian Research Council under Grant DP170102644, in part by the Shanghai International Science and Technology Cooperation Project under Grant 15220710700, and in part by the Shanghai Shuguang Project under Grant 16SG28.

语种：英文

外文关键词：Singularly perturbed systems; Takagi-Sugeno fuzzy model; reliable control; partly unknown transition probabilities; fuzzy singular-perturbation-parameter-dependent Markovian Lyapunov function

摘要：In this paper, the reliable control problem of nonlinear singularly perturbed systems subject to random actuator faults is studied. A Takagi-Sugeno fuzzy model is utilized to describe the nonlinear plant, and a Markov chain with partly unknown transition probabilities is adopted to characterize the random behaviors of the actuator faults, in contrast with the existing fault modes in which all the transition probabilities are required to be known. Combining the utilization of a novel fuzzy singular-perturbation-parameter-dependent Markovian Lyapunov function with the introduction of the slack matrix variable, sufficient conditions on the existence of the reliable fuzzy controller are presented, which are dependent on the upper bounds on the time derivatives of membership functions. A search algorithm is provided to obtain the maximum stabilization hound. Moreover, conditions based on single Lyapunov function are also established. The effectiveness and the applicability of the proposed new design technique are verified b) an example of an electronic circuit system.