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
  • [1] Robust stabilisation for constrained discrete-time switched positive linear systems with uncertainties
    Liu, Jinjin
    Zhang, Kanjian
    Pang, Guochen
    Wei, Haikun
    IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (17): : 2598 - 2605
  • [2] Switching controller synthesis for discrete-time switched linear systems with average dwell time
    He, Wei
    Xie, Wei
    Wu, Weilin
    Zhagn, Langwen
    ARCHIVES OF CONTROL SCIENCES, 2020, 30 (01) : 5 - 22
  • [3] Stability of positive switched discrete-time linear systems
    Cimochowski, Robert
    2010 15TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2010, : 207 - 211
  • [4] Stabilization for discrete-time interval switched positive linear systems
    Wang, C.-H. (cwang@hit.edu.cn), 1600, South China University of Technology (30):
  • [5] On reachability and controllability of positive discrete-time switched linear systems
    Xie, Guangming
    Wang, Long
    2006 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-6, PROCEEDINGS, 2006, : 4575 - +
  • [6] Stability of positive switched linear discrete-time systems with delays
    Cimochowski, Robert
    2012 17TH INTERNATIONAL CONFERENCE ON METHODS AND MODELS IN AUTOMATION AND ROBOTICS (MMAR), 2012, : 276 - 279
  • [7] Finite-time Stability of Discrete-time Switched Positive Linear Systems
    Wang Xuefei
    Wen Jiwei
    PROCEEDINGS OF THE 32ND 2020 CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2020), 2020, : 4580 - 4583
  • [8] Stability and stabilizability of positive switched discrete-time linear singular systems
    Thuan, Do Duc
    Thu, Ninh Thi
    SYSTEMS & CONTROL LETTERS, 2024, 185
  • [9] Language constrained stabilization of discrete-time switched linear systems: an LMI approach
    Jungers, Marc
    Girard, Antoine
    Fiacchini, Mirko
    IFAC PAPERSONLINE, 2018, 51 (16): : 25 - 30
  • [10] Stabilizability of discrete-time positive switched systems
    Fornasini, Ettore
    Valcher, Maria Elena
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 432 - 437
12345