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

共 26 条

[11] H∞ control for discrete-time singularly perturbed systems with two Markov processes [J].

Wang, Guoliang ;

Zhang, Qingling ;

Sreeram, Victor .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2010, 347 (05) :836-847

[12]

Wu J, 2005, ASIAN J CONTROL, V7, P223

[13] H∞ model reduction for discrete singular Markovian jump systems [J].

Wu, Z. ;

Su, H. ;

Chu, J. .

PROCEEDINGS OF THE INSTITUTION OF MECHANICAL ENGINEERS PART I-JOURNAL OF SYSTEMS AND CONTROL ENGINEERING, 2009, 223 (I7) :1017-1025

[14] DELAY-DEPENDENT STATE ESTIMATION FOR DISCRETE MARKOVIAN JUMP NEURAL NETWORKS WITH TIME-VARYING DELAY [J].

Wu, Zhengguang ;

Shi, Peng ;

Su, Hongye ;

Chu, Jian .

ASIAN JOURNAL OF CONTROL, 2011, 13 (06) :914-924

[15] Exponential H8 filtering for nonlinear discrete-time switched stochastic systems with mixed time delays and random missing measurements [J].

Zhang, Dan ;

Yu, Li ;

Zhang, Wen-An .

ASIAN JOURNAL OF CONTROL, 2012, 14 (03) :807-816

[16] Stability analysis of Markovian jumping stochastic Cohen-Grossberg neural networks with mixed time delays [J].

Zhang, Huaguang ;

Wang, Yingchun .

IEEE TRANSACTIONS ON NEURAL NETWORKS, 2008, 19 (02) :366-370

[17] Analysis and Synthesis of Markov Jump Linear Systems With Time-Varying Delays and Partially Known Transition Probabilities [J].

Zhang, Lixian ;

Boukas, El-Kebir ;

Lam, James .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (10) :2458-2464

[18] Necessary and Sufficient Conditions for Analysis and Synthesis of Markov Jump Linear Systems With Incomplete Transition Descriptions [J].

Zhang, Lixian ;

Lam, James .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2010, 55 (07) :1695-1701

[19] H∞ estimation for discrete-time piecewise homogeneous Markov jump linear systems [J].

Zhang, Lixian .

AUTOMATICA, 2009, 45 (11) :2570-2576

[20] H∞ control for discrete-time Markovian jump linear systems with partly unknown transition probabilities [J].

Zhang, Lixian ;

Boukas, El-Kebir .

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (08) :868-883

← 1 2 3 →