Asynchronous Dissipative Control and Robust Exponential Mean Square Stabilization for Uncertain Fuzzy Neutral Markov Jump Systems  

作　　者：WANG Jie ZHUANG Guangming XIA Jianwei CHEN Guoliang ZHAO Junsheng 

机构地区：[1]School of Mathematical Sciences,Liaocheng University,Liaocheng,252059,China

出　　处：《Journal of Systems Science & Complexity》2022年第4期1374-1397,共24页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant Nos.62173174,61773191,61973148,62003154;Plan for Outstanding Youth Innovation Team in Shandong Higher Education Institutions under Grant No.2019KJI010;the Natural Science Foundation of Shandong Province for Outstanding Young Talents in Provincial Universities under Grant No.ZR2016JL025;Undergraduate Education Reform Project of higher Education in Shandong Province under Grant No.M2018X047;Liaocheng University Education Reform Project Foundation under Grant Nos.G201811,26322170267。

摘　　要：This paper researches the strict dissipative control problem for uncertain fuzzy neutral Markov jump systems by Takagi-Sugeno fuzzy rules.The asynchronous phenomenon is considered between the uncertain fuzzy neutral Markov jump systems modes and asynchronous fuzzy P-D feedback controller modes,which is described by a hidden Markov model.Via using linear matrix inequalities,the desired asynchronous fuzzy P-D feedback controller is obtained,which can ensure that the closed-loop uncertain fuzzy neutral Markov jump systems satisfies robustly exponential mean square stabilization with strict dissipativity.A numerical example and a single-link robot arm are utilized to demonstrate the effectiveness of the method.

关 键 词：Asynchronous fuzzy P-D feedback control exponential mean square stabilization hidden Markov model neutral Markov jump systems strict dissipativity 

分 类 号：O211.62[理学—概率论与数理统计] O231[理学—数学]