A Lyapunov approach to analysis of discrete singular systems

被引：34
|
作者：
Zhang, QL
Liu, WQ [1 ]
Hill, D
机构：
[1] Curtin Univ Technol, Sch Comp, Curtin, WA 6102, Australia
[2] Northeastern Univ, Coll Sci, Liaoning 110006, Peoples R China
[3] Univ Sydney, Sch Elect & Informat Engn, Sydney, NSW 6907, Australia
来源：
SYSTEMS & CONTROL LETTERS | 2002年 / 45卷 / 03期
关键词：
discrete-time singular systems; Lyapunov equation; stability; pole clustering;
D O I：
10.1016/S0167-6911(01)00184-0
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 paper, a new type generalized Lyapunov equation for discrete singular systems is proposed. Then it is applied to study problems such as pole clustering, controllability and observability for discrete singular systems. First, some necessary and sufficient conditions for pole clustering are derived via the solution of this new type Lyapunov equation. Further, the relationship between the solution of the Lyapunov equation and structure properties of discrete singular systems will be investigated based on these results. Finally, a type of generalized Riccati equation is proposed and its solution is used to design state feedback law for discrete singular systems such that all the finite poles of the closed-loop systems are clustered into a specified disk. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：237 / 247
页数：11
相关论文
共 50 条
  • [1] A Lyapunov approach to analysis of discrete singular systems
    Zhang, QL
    Liu, WQ
    Hill, D
    PROCEEDINGS OF THE 40TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2001, : 2844 - 2849
  • [2] A New Lyapunov Approach to Stability Analysis of Discrete-time Switched Linear Singular Systems
    Men Bo
    Li Xiaosong
    Zhang Qingling
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 2464 - +
  • [3] Lyapunov stability of singular discrete time-varying systems
    Inst. of System Sciences, Northeastern Univ., Shenyang 110004, China
    不详
    Xi Tong Cheng Yu Dian Zi Ji Shu/Syst Eng Electron, 2007, 8 (1342-1345):
  • [4] Lyapunov stability analysis of linear singular dynamical systems
    Chen, CT
    Liu, YQ
    1997 IEEE INTERNATIONAL CONFERENCE ON INTELLIGENT PROCESSING SYSTEMS, VOLS 1 & 2, 1997, : 635 - 639
  • [5] On the Lyapunov theorem for singular systems
    Ishihara, JY
    Terra, MH
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (11) : 1926 - 1930
  • [6] A vector Lyapunov function approach for the stabilization of Discrete event systems
    Retchkiman, Z
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4062 - 4066
  • [7] A DESIGN APPROACH FOR CONSTRAINED REGULATION IN DISCRETE SINGULAR SYSTEMS
    GEORGIOU, C
    KRIKELIS, NJ
    SYSTEMS & CONTROL LETTERS, 1991, 17 (04) : 297 - 304
  • [8] Stability and exact observability of discrete stochastic singular systems based on generalised Lyapunov equations
    Xing, Shuangyun
    Zhang, Qingling
    IET CONTROL THEORY AND APPLICATIONS, 2016, 10 (09): : 971 - 980
  • [9] Stability analysis of discrete singular fuzzy systems
    Huang, CP
    FUZZY SETS AND SYSTEMS, 2005, 151 (01) : 155 - 165
  • [10] Stability analysis of discrete T-S fuzzy systems with piecewise fuzzy Lyapunov approach
    Zhang, Songtao
    Ren, Guang
    WCICA 2006: SIXTH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-12, CONFERENCE PROCEEDINGS, 2006, : 3796 - 3800
12345