Semi-global stabilization of discrete-time linear systems with unsymmetrical saturation

被引:7
|
作者
Wu, Wen-Juan [1 ]
Liu, Hai-Tao [2 ]
机构
[1] Tianjin Normal Univ, Coll Comp & Informat Engn, Tianjin 300387, Peoples R China
[2] Hebei Univ Technol, Sch Mech Engn, Tianjin 300130, Peoples R China
关键词
Discrete-time linear system; Unsymmetric saturation; Parametric Lyapunov equation; Linear matrix inequalities(LMIs); H-INFINITY CONTROL; INPUT SATURATION; EXPONENTIAL STABILIZATION; ACTUATOR SATURATION; MULTIAGENT SYSTEMS; SUBJECT; DELAY; CONSENSUS; FEEDBACK;
D O I
10.1016/j.isatra.2019.02.008
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper deals with the stabilization problem for discrete-time linear system with unsymmetric saturation. To handle the structural properties of the unsymmetric saturation nonlinearity, the description of the transformation carries from the symmetric case to the unsymmetric case is employed. By using the parametric Lyapunov equation-based low gain feedback design approach, linear matrix inequality formulations for the state feedback and output feedback control design are given. The effectiveness of the proposed method is confirmed by numerical examples. (C) 2019 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:134 / 144
页数:11
相关论文
共 50 条
  • [11] Semi-global stabilization of discrete-time systems with bounded inputs using a periodic controller
    Collado, J
    Lozano, R
    Ailon, A
    SYSTEMS & CONTROL LETTERS, 1999, 36 (04) : 267 - 275
  • [12] A parametric periodic Lyapunov equation with application in semi-global stabilization of discrete-time periodic systems subject to actuator saturation
    Zhou, Bin
    Duan, Guang-Ren
    Lin, Zongli
    AUTOMATICA, 2011, 47 (02) : 316 - 325
  • [13] On external semi-global stochastic stabilization of linear systems with input saturation
    Stoorvogel, Anton A.
    Saberi, Ali
    Weiland, Siep
    2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 4755 - +
  • [14] Global Stabilization of Discrete-Time Linear Systems Subject to Input Saturation and Time Delay
    Yang, Xuefei
    Zhou, Bin
    Mazenc, Frederic
    Lam, James
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (03) : 1345 - 1352
  • [15] Model-Free Semi-Global Output Regulation for Discrete-Time Linear Systems Subject To Input Amplitude Saturation
    Yang, Yongliang
    Ding, Dawei
    Yin, Yixin
    Wunsch, Donald C., II
    PROCEEDINGS 2018 33RD YOUTH ACADEMIC ANNUAL CONFERENCE OF CHINESE ASSOCIATION OF AUTOMATION (YAC), 2018, : 150 - 155
  • [16] Semi-global stabilization of discrete-time systems subject to non-right invertible constraints
    Wang, Xu
    Saberi, Ali
    Stoorvogel, Anton A.
    Roy, Sandip
    Sannuti, Peddapullaiah
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (11) : 1234 - 1254
  • [17] Semi-Global Leader-Following Output Consensus of Discrete-Time Linear Multi-agent Systems with Input Saturation
    Shi, Liangren
    Li, Yuanlong
    Lin, Zongli
    PROCEEDINGS OF 2018 IEEE INTERNATIONAL CONFERENCE ON REAL-TIME COMPUTING AND ROBOTICS (IEEE RCAR), 2018, : 354 - 359
  • [18] Semi-global output regulation for discrete-time singular linear systems with input saturation via composite nonlinear feedback control
    Lin, Xiaoyan
    Lin, Dongyun
    Lan, Weiyao
    TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2017, 39 (03) : 352 - 360
  • [19] Semi-global edge-consensus of linear discrete-time multi-agent systems with positive constraint and input saturation
    Sun, Yaping
    Su, Housheng
    Wang, Xiaoling
    Chen, Shiming
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (07): : 979 - 987
  • [20] 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