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
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] Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Multiple Unknown Constant Delays
    Wang, Xu
    Saberi, Ali
    Stoorvogel, Anton A.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (06) : 1667 - 1672
  • [42] Semi-Global Bounded Output Regulation of Linear Two-Time-Scale Systems With Input Saturation
    Lei, Yan
    Wang, Yan-Wu
    Liu, Xiao-Kang
    Morarescu, Irinel-Constantin
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2023, 70 (11) : 4560 - 4569
  • [43] Simultaneous semi-global Lp-stabilization and asymptotical stabilization for singular systems subject to input saturation
    Zhou, Lei
    Xiao, Xiaoqing
    Lu, Guoping
    SYSTEMS & CONTROL LETTERS, 2012, 61 (03) : 403 - 411
  • [44] Decentralized Stabilization of Fractional Positive Descriptor Discrete-Time Linear Systems
    Kaczorek, Tadeusz
    NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS, 2019, 496 : 3 - 13
  • [45] Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation
    Hu, TS
    Lin, ZL
    Shamash, Y
    PROCEEDINGS OF THE 2000 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2000, : 4388 - 4392
  • [46] Stabilization of Discrete-Time Linear Systems With Quantization and Noise Input
    Ji, Mingming
    Yang, Chunyu
    Zhang, Weidong
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2015, 137 (06):
  • [47] On external semi-global stochastic stabilization of a double integrator with input saturation
    Stoorvogel, Anton A.
    Saberi, Ali
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 3493 - 3497
  • [48] Semi-global stabilization with guaranteed regional performance of linear systems subject to actuator saturation
    Hu, TS
    Lin, ZL
    Shamash, Y
    SYSTEMS & CONTROL LETTERS, 2001, 43 (03) : 203 - 210
  • [49] Event-Triggered Semi-Global Stabilization of Linear Systems Subject to Output Saturation
    Xie, Yijing
    Lin, Zongli
    2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC), 2017,
  • [50] Semi-global Weighted Output Average Tracking of Discrete-time Heterogeneous Multi-agent Systems Subject to Input Saturation and External Disturbances
    Song, Qilin
    Li, Yuanlong
    Xie, Yijing
    Lin, Zongli
    IFAC PAPERSONLINE, 2023, 56 (02): : 8797 - 8802