Event-Triggered Guaranteed Cost Controller Design for T-S Fuzzy Markovian Jump Systems With Partly Unknown Transition Probabilities

被引：100

作者：

Xue, Min ^{[1
]}

Yan, Huaicheng ^{[2
,3
]}

Zhang, Hao ^{[4
]}

Li, Zhichen ^{[1
]}

Chen, Shiming ^{[3
]}

Chen, Chaoyang ^{[5
]}

机构：

[1] East China Univ Sci & Technol, Sch Informat Sci & Engn, Shanghai 200237, Peoples R China

[2] East China Univ Sci & Technol, Minist Educ, Key Lab Adv Control & Optimizat Chem Proc, Shanghai 200237, Peoples R China

[3] East China Jiaotong Univ, Sch Elect & Automat Engn, Nanchang 330013, Jiangxi, Peoples R China

[4] Tongji Univ, Dept Control Sci & Engn, Shanghai 200092, Peoples R China

[5] Hunan Univ Sci & Technol, Sch Informat & Elect Engn, Xiangtan 411201, Peoples R China

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2021年 / 29卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Delays; Manganese; Adaptation models; Nonlinear systems; Bandwidth; Stability analysis; Indexes; Event-triggered mechanism; guaranteed cost index; Markovian jump systems (M[!text type='JS']JS[!/text]s); partly unknown transition probabilities; Takagi– Sugeno (T-S) fuzzy systems; NONLINEAR-SYSTEMS; STABILIZATION; STABILITY;

D O I：

10.1109/TFUZZ.2020.2968866

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This article is concerned with the event-triggered guaranteed cost control for a class of Markovian jump systems with time-varying delays and partly unknown transition probabilities, which is described by the Takagi-Sugeno fuzzy model. For the sake of saving network bandwidth, an event-triggered mechanism related to system modes is developed in the feedback channel, in which network-induced delay randomly occurs. The stability criterion for the system with a guaranteed cost index is derived by the Lyapunov-Krasovskii functional. Moreover, sufficient conditions that ensure the existence of the admissible fuzzy controllers are given. By means of the proposed approach, the fuzzy control gains and event-triggered parameters can be codesigned. Finally, some simulation results are presented to demonstrate the superiority and effectiveness of the developed method.

引用

页码：1052 / 1064

页数：13

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