Control of uncertain piecewise discrete-time linear systems via state and output feedback

被引：8
|
作者：
Zhang, Jianxiong [1 ]
Tang, Wansheng [1 ]
Deng, Lili [1 ]
Gao, Hongxing [1 ]
机构：
[1] Tianjin Univ, Inst Syst Engn, Tianjin 300072, Peoples R China
来源：
TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL | 2012年 / 34卷 / 05期
基金：
中国国家自然科学基金; 高等学校博士学科点专项科研基金;
关键词：
Output feedback; parameter uncertainties; piecewise discrete-time linear systems; piecewise quadratic Lyapunov functions; H-INFINITY CONTROL; QUADRATIC STABILIZATION; STABILITY ANALYSIS; DESIGN; AFFINE;
D O I：
10.1177/0142331211403539
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
Based on piecewise quadratic Lyapunov function techniques, this paper first provides a stability condition for the uncertain piecewise discrete-time linear system, which is a feasibility problem of linear matrix inequalities. Then the control methods for uncertain piecewise discrete-time linear systems via state feedback and output feedback controllers are proposed. It is shown that both the state feedback and output feedback controllers can be obtained by solving a set of bilinear matrix inequalities. A numerical example is given to illustrate the effectiveness of the developed methods
引用
收藏
页码：509 / 519
页数：11
相关论文
共 50 条
  • [1] On the output feedback control of discrete-time uncertain systems
    Andreou, S
    Yaz, E
    [J]. PROCEEDINGS OF THE TWENTY-EIGHTH SOUTHEASTERN SYMPOSIUM ON SYSTEM THEORY, 1996, : 72 - 75
  • [2] Robust Switching Output Feedback Control of Discrete-Time Linear Polytopic Uncertain Systems
    Yuan Chengzhi
    Wu Fen
    Duan Chang
    [J]. 2015 34TH CHINESE CONTROL CONFERENCE (CCC), 2015, : 2973 - 2978
  • [3] Output feedback sliding mode control of uncertain discrete-time systems
    Yang Peng-song
    Sun Xiu-xia
    Dong Wen-han
    Sun Biao
    Jia Ning
    [J]. PROCEEDINGS OF THE 31ST CHINESE CONTROL CONFERENCE, 2012, : 3218 - 3222
  • [4] DISCRETE-TIME OUTPUT FEEDBACK SLIDING MODE CONTROL FOR UNCERTAIN SYSTEMS
    Pai, Ming-Chang
    [J]. JOURNAL OF MARINE SCIENCE AND TECHNOLOGY-TAIWAN, 2008, 16 (04): : 295 - 300
  • [5] H∞ static output-feedback control for positive uncertain discrete-time linear systems
    Spagolla, Amanda
    Morais, Cecilia F.
    Oliveira, Ricardo C. L. F.
    Peres, Pedro L. D.
    [J]. 2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019,
  • [6] Output feedback satisfactory fault-tolerant control of uncertain linear discrete-time systems
    Han, Xiaodong
    Huang, He
    Ji, Xiaopeng
    Wang, Zhiquan
    [J]. PROCEEDINGS OF 2008 IEEE INTERNATIONAL CONFERENCE ON NETWORKING, SENSING AND CONTROL, VOLS 1 AND 2, 2008, : 671 - 676
  • [7] Robust H∞ output feedback controller design for linear uncertain discrete-time switched systems via state reset
    赵旭东
    凌明祥
    曾庆双
    杜晶晶
    [J]. Journal of Harbin Institute of Technology(New series), 2010, (03) : 328 - 332
  • [8] H∞ output feedback control for constrained discrete-time piecewise affine systems
    Wang, Juan
    Du, Haiying
    [J]. CEIS 2011, 2011, 15
  • [9] H∞ control of discrete-time uncertain linear systems with quantized feedback
    Li, Zhi-Min
    Chang, Xiao-Heng
    Du, Xiao-Kun
    Yu, Lu
    [J]. NEUROCOMPUTING, 2016, 174 : 790 - 794
  • [10] Quadratic Stabilization of Uncertain Discrete-Time Switched Systems via Output Feedback
    Zhijian Ji
    Long Wang
    Guangming Xie
    [J]. Circuits, Systems and Signal Processing, 2005, 24 : 733 - 751
12345