H∞ Control of Markovian Jump Linear Singularly Perturbed Systems

被引：8

作者：

Liu, Wei ^{[1
]}

Wang, Yanyan ^{[1
]}

机构：

[1] Zhoukou Normal Univ, Sch Math & Stat, Zhoukou 466001, Peoples R China

来源：

CIRCUITS SYSTEMS AND SIGNAL PROCESSING | 2021年 / 40卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Singularly perturbed systems; Markovian jump systems; H-infinity; control; Linear matrix inequality; ROBUST; STABILIZATION; PARAMETERS; STABILITY;

D O I：

10.1007/s00034-021-01676-y

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

This paper studies H infinity control of Markovian jump linear singularly perturbed systems (MJLSPSs). A sufficient condition in terms of linear matrix inequalities (LMIs), different from ones in previous existing works, is given for designing H infinity control to overcome the difficulties of solving either Riccati equations or nonlinear matrix inequalities. Then, the jump H infinity controller can be obtained effectively by solving the proposed LMIs. Furthermore, a method is developed for evaluating an allowable upper bound of the singular perturbation parameter, in which a prescribed H infinity performance is satisfied. Finally, two numerical examples are presented to illustrate the effectiveness of the proposed design methods.

引用

页码：4230 / 4245

页数：16

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