Finite-Time L2-Gain Asynchronous Control for Continuous-Time Positive Hidden Markov Jump Systems via T-S Fuzzy Model Approach

被引：166

作者：

Ren, Chengcheng ^{[1
]}

He, Shuping ^{[1
]}

Luan, Xiaoli ^{[2
]}

Liu, Fei ^{[2
]}

Karimi, Hamid Reza ^{[3
]}

机构：

[1] Anhui Univ, Sch Elect Engn & Automat, Minist Educ, Key Lab Intelligent Comp & Signal Proc, Hefei 230601, Peoples R China

[2] Jiangnan Univ, Inst Automat, Minist Educ, Key Lab Adv Proc Control Light Ind, Wuxi 214122, Jiangsu, Peoples R China

[3] Politecn Milan, Dept Mech Engn, I-20156 Milan, Italy

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2021年 / 51卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Asynchronous control; finite-time bounded; Hidden Markov jump systems (HM[!text type='JS']JS[!/text]s); positive systems; Takagi-Sugeno (T-S) fuzzy model; OUTPUT-FEEDBACK CONTROL; H-INFINITY CONTROL; NONLINEAR-SYSTEMS; TRACKING CONTROL; DELAYED SYSTEMS; LINEAR-SYSTEMS; STABILITY;

D O I：

10.1109/TCYB.2020.2996743

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This article investigates the finite-time asynchronous control problem for continuous-time positive hidden Markov jump systems (HMJSs) by using the Takagi-Sugeno fuzzy model method. Different from the existing methods, the Markov jump systems under consideration are considered with the hidden Markov model in the continuous-time case, that is, the Markov model consists of the hidden state and the observed state. We aim to derive a suitable controller that depends on the observation mode which makes the closed-loop fuzzy HMJSs be stochastically finite-time bounded and positive, and fulfill the given L-2 performance index. Applying the stochastic Lyapunov-Krasovskii functional (SLKF) methods, we establish sufficient conditions to obtain the finite-time state-feedback controller. Finally, a Lotka-Volterra population model is used to show the feasibility and validity of the main results.

引用

页码：77 / 87

页数：11

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