Asynchronous Guaranteed Cost Control of 2-D Markov Jump Roesser Systems

被引：19

作者：

Wu, Zheng-Guang ^{[1
]}

Tao, Yue-Yue ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310027, Zhejiang, Peoples R China

来源：

IEEE TRANSACTIONS ON CYBERNETICS | 2022年 / 52卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Markov processes; Hidden Markov models; Control systems; Boundary conditions; Switches; Symmetric matrices; Cost function; 2-D systems; guaranteed cost control; hidden Markov model; Markov jump systems (M[!text type='JS']JS[!/text]s); LINEAR-SYSTEMS; STABILITY; STABILIZATION; MODELS;

D O I：

10.1109/TCYB.2021.3100074

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 is concerned with the problem of guaranteed cost control for 2-D Markov jump Roesser systems with mismatched modes. The hidden Markov model is introduced to describe the asynchronous phenomenon caused by mismatched modes, and an asynchronous linear state-feedback control law is designed based on this model. With the help of the 2-D Lyapunov function and linear matrix inequality (LMI) techniques, sufficient conditions are established to ensure the asymptotic stability of the concerned system with a bound of the predefined guaranteed cost under three different boundary conditions, respectively. Finally, an algorithm that concludes the design processes of the optimal asynchronous guaranteed cost control law is proposed, and a numerical example is provided to verify its effectiveness.

引用

页码：13063 / 13072

页数：10

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