H∞ CONTROL FOR DISCRETE-TIME MARKOVIAN JUMP SYSTEMS WITH PARTIAL INFORMATION ON TRANSITION PROBABILITIES

被引：13

作者：

Zhang, Yan ^{[1
]}

He, Yong ^{[1
]}

Wu, Min ^{[1
]}

Zhang, Jie ^{[2
]}

机构：

[1] Cent S Univ, Sch Informat Sci & Engn, Hunan Engn Lab Adv Control & Intelligent Automat, Changsha 410083, Peoples R China

[2] Waseda Univ, Grad Sch Environm & Energy Engn, Tokyo 1698555, Japan

来源：

ASIAN JOURNAL OF CONTROL | 2013年 / 15卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Markovian jump systems (M[!text type='JS']JS[!/text]s); H control; transition probabilities (TPs); free-connection weighting matrix; LINEAR-SYSTEMS; NEURAL-NETWORKS; ROBUST STABILITY; VARYING DELAYS; MODEL;

D O I：

10.1002/asjc.700

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 paper focuses on mode-dependent H state-feedback control for a class of discrete-time Markovian jump systems (MJSs) with partial information on transition probabilities (TPs). The augmented free-connection weighting matrices are introduced by considering the influence of partial information of TPs on discrete-time MJSs and the disturbance input on the state vector. As a result, the less conservative stability criterion and bounded real lemma (BRL) of MJSs with partly unknown TPs are obtained. Then the sufficient conditions for designing the mode-dependent H controllers are derived in terms of linear matrix inequalities (LMIs). Numerical examples are given to illustrate the effectiveness and the merits of the proposed method.

引用

页码：1397 / 1406

页数：10

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