An ARE approach to semi-global stabilization of discrete-time descriptor linear systems with input saturation

被引：25
|
作者：
Zhou, Bin [1 ]
Lam, James [2 ]
Duan, Guang-Ren [1 ]
机构：
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, Harbin 150001, Peoples R China
[2] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2009年 / 58卷 / 08期
基金：
中国国家自然科学基金;
关键词：
Discrete-time descriptor linear systems; Low gain feedback; Riccati equation; Semi-global stabilization; Saturation; IMPROVING TRANSIENT PERFORMANCE; SINGULAR SYSTEMS; EXPONENTIAL STABILIZATION; MULTIPLE INTEGRATORS; GLOBAL CONTROL; STABILITY; SUBJECT; FEEDBACK; LYAPUNOV; MATRIX;
D O I：
10.1016/j.sysconle.2009.03.009
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 semi-global stabilization problem of discrete-time descriptor linear systems with input saturation is considered. By exploring the properties of the solutions to a class of parametric discrete-time Riccati equations for discrete-time descriptor linear system and their associated feedback gains, both the state feedback and output feedback semi-global stabilization problem are solved by linear feedback without any system decomposition on the original descriptor linear system. A numerical example is used to show the effectiveness of the proposed approach. (c) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码：609 / 616
页数：8
相关论文
共 50 条
  • [41] Semi-global output regulation for linear systems with input saturation by composite nonlinear feedback control
    Wang, Chongwen
    Yu, Xiao
    Lan, Weiyao
    INTERNATIONAL JOURNAL OF CONTROL, 2014, 87 (10) : 1985 - 1997
  • [42] Low gain feedback for fractional-order linear systems and semi-global stabilization in the presence of actuator saturation
    Jie Xu
    Zongli Lin
    Nonlinear Dynamics, 2022, 107 : 3485 - 3504
  • [43] Global consensus for discrete-time multi-agent systems with input saturation constraints
    Yang, Tao
    Meng, Ziyang
    Dimarogonas, Dimos V.
    Johansson, Karl H.
    AUTOMATICA, 2014, 50 (02) : 499 - 506
  • [44] On global external stochastic stabilization of linear systems with input saturation
    Stoorvogel, Anton A.
    Saberi, Ali
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 769 - 774
  • [45] On global external stochastic stabilization of linear systems with input saturation
    Stoorvogel, Anton A.
    Saberi, Ali
    2014 AMERICAN CONTROL CONFERENCE (ACC), 2014, : 2972 - 2976
  • [46] On the stabilization of linear discrete-time systems
    Ferreira, C
    Silva, FC
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 390 : 7 - 18
  • [47] Recursive linear estimation for general discrete-time descriptor systems
    Ishihara, Joao Y.
    Terra, Marco H.
    Bianco, Aline F.
    AUTOMATICA, 2010, 46 (04) : 761 - 766
  • [48] Nonnegativity, stability analysis of linear discrete-time positive descriptor systems: an optimization approach
    Yang, H.
    Zhou, M.
    Zhao, M.
    Pan, P.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2018, 66 (01) : 23 - 29
  • [49] Robust global stabilization of linear systems with input saturation via gain scheduling
    Zhou, Bin
    Lin, Zongli
    Duan, Guangren
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (04) : 424 - 447
  • [50] Event-triggered control for semi-global stabilisation of systems with actuator saturation
    Zhang, Liangyin
    Chen, Michael Z. Q.
    INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (05) : 1047 - 1064
12345