Time-delay dependent H∞ model simplification for singular systems with Markovian jumping parameters

被引：12

作者：

Lu, Hongqian ^{[2
]}

Zhou, Wuneng ^{[1
,3
]}

Xu, Yuhua ^{[4
]}

Fang, Jian'an ^{[1
]}

Tong, Dongbing ^{[1
]}

机构：

[1] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China

[2] Shandong Inst Light Ind, Sch Elect Informat & Control Engn, Jinan 250353, Shandong, Peoples R China

[3] Chinese Acad Sci, Shanghai Inst Microsyst & Informat Technol, Key Lab Wireless Sensor Network & Commun, Shanghai 200050, Peoples R China

[4] Yunyang Teachers Coll, Dept Maths, Danjiangkou 442000, Hubei, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2011年 / 32卷 / 04期

基金：

中国国家自然科学基金;

关键词：

model reduction; linear matrix inequality (LMI); Markovian jump systems; singular systems; LINEAR-SYSTEMS; STABILITY; REDUCTION; STABILIZATION; STATE;

D O I：

10.1002/oca.943

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 model simplification for singular systems with Markovian jumping parameters and time-delay is investigated. For a given stochastic stable system, our attention is focused on the construction of reduced-order models which guarantee the corresponding error system to be admissible and have a prescribed H infinity error performance. A robust admissibility condition and a robust bounded real lemma are developed based on which, sufficient conditions for the existence of desired reduced-order models are proposed. Desired reduced-order model can be constructed when the proposed conditions are satisfied. The effectiveness of the proposed model reduction method is illustrated via a numerical example. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：379 / 395

页数：17

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