H∞ Control for Discrete-Time Markov Jump Systems With Uncertain Transition Probabilities

被引：101
作者：
Luan, Xiaoli [1 ,2 ]
Zhao, Shunyi [1 ,2 ]
Liu, Fei [1 ,2 ]
机构：
[1] Jiangnan Univ, Key Lab Adv Control Light Ind Proc, Minist Educ, Wuxi 214122, Peoples R China
[2] Jiangnan Univ, Inst Automat, Wuxi 214122, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 06期
基金：
中国国家自然科学基金;
关键词：
H-infinity control; Markov jump systems; uncertain transition probabilities; LINEAR-SYSTEMS;
D O I：
10.1109/TAC.2012.2229839
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this technical note, the H-infinity control problem for a class of discrete-timeMarkov jump systems (MJSs) with uncertain transition probabilities (TPs) is investigated. The uncertain information of transition probabilities is quantized by Gaussian transition probability density function (pdf). In light of the proposed descriptions, the MJSs with Gaussian PDF of TPs cover the systems with precisely known and partially known TPs as two special cases. Sufficient conditions for the existence of H-infinity controller of the underlying systems are derived in term of linear matrix inequalities. A numerical example is presented to illustrate the effectiveness and potential of the developed theoretical results.
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页码：1566 / 1572
页数：8
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