Robust mixed H2/H∞ model predictive control for Markov jump systems with partially uncertain transition probabilities

被引:31
作者
Zhang, Yueyuan [1 ]
Lim, Cheng-Chew [2 ]
Liu, Fei [1 ]
机构
[1] Jiangnan Univ, Inst Automat, Key Lab Adv Proc Control Light Ind, Minist Educ, Wuxi 214122, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide, SA 5005, Australia
来源
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2018年 / 355卷 / 08期
基金
中国国家自然科学基金;
关键词
LINEAR-SYSTEMS; TIME-DELAY; VEHICLES; OUTPUT;
D O I
10.1016/j.jfranklin.2018.01.035
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 addresses the control problem for a class of discrete-time Markov jump linear systems with partially unknown transition probabilities using model predictive controller subject to external disturbances and input constraints. Our focus is on the design of a model predictive controller to stabilize the system with a given mixed H-2/H-infinity performance index. Sufficient conditions are derived in terms of a set of linear matrix inequalities. Examples are presented to demonstrate the effectiveness of the proposed controller design method. (C) 2018 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:3423 / 3437
页数:15
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