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
收藏
页码：379 / 395
页数：17
相关论文
共 50 条
  • [31] Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters
    Jianwei XIA 1
    2.School of Automation
    JournalofControlTheoryandApplications, 2008, (04) : 410 - 414
  • [32] Robust reliable H-infinity control for nonlinear uncertain stochastic time-delay systems with Markovian jumping parameters
    Xia J.
    Xu S.
    Zou Y.
    J. Control Theory Appl., 2008, 4 (410-414): : 410 - 414
  • [33] Delay-dependent robust H∞ stability analysis for uncertain singular system with Markovian Jumping Parameters
    Lu Hongqian
    Duan Chunmei
    Sun Meiyu
    2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2010, : 3627 - 3631
  • [34] Delay-Dependent Robust H∞ Admissibility and Stabilization for Uncertain Singular System with Markovian Jumping Parameters
    Wuneng Zhou
    Jian’an Fang
    Circuits, Systems & Signal Processing, 2009, 28 : 433 - 450
  • [35] Delay-dependent robust H∞ control for uncertain singular time-delay systems
    Wu, Z.
    Zhou, W.
    IET CONTROL THEORY AND APPLICATIONS, 2007, 1 (05): : 1234 - 1241
  • [36] Improved results on delay-dependent H∞ control for singular time-delay systems
    Wu, Zheng-Guang
    Su, Hong-Ye
    Chu, Jian
    Zidonghua Xuebao/ Acta Automatica Sinica, 2009, 35 (08): : 1101 - 1106
  • [37] Delay-dependent H∞ Control for Lurie Type Singular Time-delay Systems
    Liu, Xiaomei
    Zhang, Kanjian
    Li, Shengtao
    Fei, Shumin
    Wei, Haikun
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 39 - 43
  • [38] A sliding mode approach to H∞ synchronization of master-slave time-delay systems with Markovian jumping parameters and nonlinear uncertainties
    Karimi, Hamid Reza
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2012, 349 (04): : 1480 - 1496
  • [39] Delay-dependent dissipativity of singular time-delay systems
    Mahmoud, Magdi S.
    IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2009, 26 (01) : 45 - 58
  • [40] Robust stability and H∞ control for uncertain discrete Markovian jump singular systems with mode-dependent time-delay
    Ma, Shuping
    Zhang, Chenghui
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2009, 19 (09) : 965 - 985
12345