Controller synthesis for constrained discrete-time switched positive linear systems

被引：18
|
作者：
Liu, Jinjin [1 ]
Zhang, Kanjian [1 ]
Pang, Guochen [1 ]
Wei, Haikun [1 ]
机构：
[1] Southeast Univ, Sch Automat, Key Lab Measurement & Control CSE, Minist Educ, Nanjing 210096, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-HYBRID SYSTEMS | 2016年 / 19卷
基金：
中国国家自然科学基金;
关键词：
Switched positive linear systems; Stabilization; Bounded controls; Linear programming; OUTPUT-FEEDBACK CONTROL; ASYMPTOTIC STABILITY; STABILIZATION; STABILIZABILITY;
D O I：
10.1016/j.nahs.2015.07.001
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 investigates the controller synthesis for a class of discrete-time switched linear systems with bounds on the controls and the states. First, the synthesis of state feedback controllers guaranteeing positivity and stability of the closed-loop system is studied for sign-restricted inputs. Also, the results can be extended to asymmetrically bounded controls and constrained states. All the derived conditions are shown as linear programming framework. In addition, a cost function is proposed to maximize the length of the box constraints on the initial state. Finally, several numerical examples illustrate the validity of the developed results. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 12
页数：12
相关论文
共 50 条
  • [31] The selected problems of controllability of discrete-time switched linear systems with constrained switching rule
    Babiarz, A.
    Czornik, A.
    Klamka, J.
    Niezabitowski, M.
    BULLETIN OF THE POLISH ACADEMY OF SCIENCES-TECHNICAL SCIENCES, 2015, 63 (03) : 657 - 666
  • [32] Language-Guided Controller Synthesis for Discrete-Time Linear Systems
    Gol, Ebru Aydin
    Lazar, Mircea
    Belta, Calin
    HSCC 12: PROCEEDINGS OF THE 15TH ACM INTERNATIONAL CONFERENCE ON HYBRID SYSTEMS: COMPUTATION AND CONTROL, 2012, : 95 - 104
  • [33] Periodic FIR Controller Synthesis for Discrete-Time Uncertain Linear Systems
    Tregouet, Jean-Francois
    Arzelier, Denis
    Peaucelle, Dimitri
    Ebihara, Yoshio
    Pittet, Christelle
    Falcoz, Alexandre
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1367 - 1372
  • [34] Controller synthesis for discrete-time positive switched T-S fuzzy systems with partially controllable subsystems
    Yang, Gengjiao
    Hao, Fei
    Zhang, Lin
    Li, Bo Hu
    ASIAN JOURNAL OF CONTROL, 2022, 24 (04) : 1622 - 1637
  • [35] Stabilization of discrete-time switched positive linear systems via weak switched linear copositive Lyapunov function
    Ju, Yanhao
    Sun, Yuangong
    AUTOMATICA, 2020, 114
  • [36] Switching stabilization and l2 gain performance controller synthesis for discrete-time switched linear systems
    Lin, Hai
    Antsaklis, Panos J.
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 2677 - +
  • [37] Linear Quadratic Regulator of Discrete-Time Switched Linear Systems
    Wu, Guangyu
    Xiong, Lu
    Wang, Gang
    Sun, Jian
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2020, 67 (12) : 3113 - 3117
  • [38] Reachability properties of discrete-time positive switched systems
    Santesso, Paolo
    Valcher, Maria Elena
    PROCEEDINGS OF THE 45TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-14, 2006, : 4087 - 4092
  • [39] Reachability of a class of discrete-time positive switched systems
    Fornasini, Ettore
    Valcher, Maria Elena
    PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009), 2009, : 57 - 62
  • [40] Controller Design for Constrained Discrete-Time Uncertain Linear Systems Using Implicit Functions
    Munoz-Carpintero, Diego A.
    Valmorbida, Giorgio
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 1985 - 1990
12345