Guaranteed cost control for uncertain discrete-time switched systems

被引:0
|
作者
Zhang, Ying [1 ]
Duan, Guangren [1 ]
Fu, Yanming [1 ]
机构
[1] Harbin Inst Technol, Ctr Control Theory & Guidance Technol, POB 416, Harbin 150001, Peoples R China
关键词
switched systems; discrete-time systems; guaranteed cost control; LMI;
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Guaranteed cost control for a class of linear discrete-time switched systems with parameter uncertainty is studied. The purpose is to design a state feedback control law such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties. Two different sufficient conditions on the existence of guaranteed cost controllers are derived based on a switched Lyapunov function (SLF) method together with linear matrix inequality (LMI) approach. Furthermore, a convex optimization problem with LMIs constraints is formulated to design a suboptimal guaranteed cost controller. A numerical example demonstrates the effect of the proposed design approach.
引用
收藏
页码:1309 / +
页数:2
相关论文
共 50 条
  • [41] Guaranteed cost stabilization for a class of uncertain discrete-time systems
    Department of Control, Instituto Tecnológico de Aeronáutica, Centro Técnico Aero-espacial, S. José dos Campos
    SP
    12.228-900, Brazil
    Int. J. Syst. Sci., 3 (555-561):
  • [42] Inclusion principle for uncertain discrete-time systems with guaranteed cost
    Bakule, L
    Rodellar, J
    Rossell, JM
    2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5, 2004, : 2712 - 2716
  • [43] Guaranteed Cost Finite-Time Control of Discrete-Time Positive Impulsive Switched Systems
    Liu, Leipo
    Xing, Hao
    Cao, Xiangyang
    Fu, Zhumu
    Song, Shuzhong
    COMPLEXITY, 2018,
  • [44] Delay-dependent guaranteed cost control for uncertain nonlinear discrete-time systems
    Yue, Dongmei
    Liu, Zhiyuan
    Gai, Xiaodong
    Pei, Run
    2007 IEEE INTERNATIONAL CONFERENCE ON MECHATRONICS AND AUTOMATION, VOLS I-V, CONFERENCE PROCEEDINGS, 2007, : 3773 - +
  • [45] Non-fragile guaranteed cost control for discrete-time uncertain linear systems
    Yee, JS
    Yang, GH
    Wang, JL
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2001, 32 (07) : 845 - 853
  • [46] Robust guaranteed cost control for uncertain discrete-time systems with state and input quantizations
    Zheng, Qunxian
    Chen, Haoling
    Xu, Shengyuan
    INFORMATION SCIENCES, 2021, 564 : 288 - 305
  • [47] Quadratic guaranteed cost and disc pole location control for discrete-time uncertain systems
    Garcia, G
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1997, 144 (06): : 545 - 548
  • [48] Guaranteed cost control of discrete-time uncertain systems with both state and input delays
    Gyurkovics, Eva
    INTERNATIONAL JOURNAL OF CONTROL, 2016, 89 (10) : 2073 - 2082
  • [49] Quadratic guaranteed cost and disc pole location control for discrete-time uncertain systems
    LAAS-CNRS, Toulouse, France
    IEE Proc Control Theory Appl, 6 (545-548):
  • [50] Delay-dependent guaranteed cost control for uncertain discrete-time systems with delay
    Chen, WH
    Guan, ZH
    Lu, X
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2003, 150 (04): : 412 - 416