H∞ control of a class of discrete-time Markov jump linear systems with piecewise-constant TPs subject to average dwell time switching

被引：48

作者：

Chen, Lingjie ^{[1
,2
]}

Leng, Yu ^{[1
]}

Guo, Haifeng ^{[3
]}

Shi, Ping ^{[4
]}

Zhang, Lixian ^{[1
]}

机构：

[1] Harbin Inst Technol, Sch Astronaut, Harbin 150001, Peoples R China

[2] Xiamen Golden Egret Special Alloy Co Ltd, Xiamen 361000, Peoples R China

[3] Harbin Inst Technol, Dept Appl Econ, Sch Management, Harbin 150001, Peoples R China

[4] Heilongjiang Commun Polytech, Qiqihar 161000, Heilongjiang, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2012年 / 349卷 / 06期

关键词：

MODEL-REDUCTION; STABILIZATION; FEEDBACK; TRACKING;

D O I：

10.1016/j.jfranklin.2012.04.004

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The problem of H-infinity control for a class of discrete-time Markov jump linear systems (MJLSs) characterized by piecewise-constant transition probabilities (TPs) is investigated in the paper. The so-called piecewise-constant TPs mean that the TPs are varying but invariant within an interval. The variation of the TPs considered here is subject to a typical class of slow switching signal, the average dwell time (ADT) switching, i.e., the number of switches in a finite interval is bounded and the average time between two consecutive switchings of TP matrices is not less than a constant. In this paper, the technique is illustrated and its use is exemplified with application to the popular class of multiplier-accelerator macroeconomic model. (C) 2012 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1989 / 2003

页数：15

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