Robust finite-time stabilisation of uncertain linear systems

被引：34
|
作者：
Amato, F. [2 ]
Ariola, M. [1 ]
Cosentino, C. [2 ]
机构：
[1] Univ Napoli Parthenope, Ctr Direzionale Napoli, Dipartimento Tecnol, I-80143 Naples, Italy
[2] Univ Magna Gracia di Catanzaro, Sch Comp & Biomed Engn, I-88100 Catanzaro, Italy
来源：
INTERNATIONAL JOURNAL OF CONTROL | 2011年 / 84卷 / 12期
关键词：
finite-time stability; uncertain systems; differential LMIs; STABILITY;
D O I：
10.1080/00207179.2011.633230
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 article deals with the problem of finite-time stability and stabilisation of uncertain linear systems. For linear time-varying systems subject to norm-bounded uncertainties some conditions for finite-time stability are provided. These conditions are expressed in terms of differential linear matrix inequalities. Then the problem of controller design is tackled, both for the state feedback and for the output feedback case; in both cases the controller can be found solving a suitable set of LMIs. A typical engineering case-study is included, to illustrate the applicability of the devised conditions.
引用
收藏
页码：2117 / 2127
页数：11
相关论文
共 50 条
  • [1] Robust Finite-Time Tracking for Uncertain Linear Systems with Actuator Faults
    Fang, Xinpeng
    Fan, Huijin
    Liu, Lei
    COMPLEXITY, 2020, 2020
  • [2] Finite-time stability and stabilisation for switched linear systems
    Xiang, Weiming
    Xiao, Jian
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2013, 44 (02) : 384 - 400
  • [3] ROBUST FINITE-TIME STABILITY AND STABILIZATION OF LINEAR UNCERTAIN TIME-DELAY SYSTEMS
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin Lj.
    Antic, Dragan S.
    ASIAN JOURNAL OF CONTROL, 2013, 15 (05) : 1548 - 1554
  • [4] Robust Finite-Time Stabilization for Uncertain Discrete-Time Linear Singular Systems
    Wang, Jianxin
    Wu, Hecheng
    Ji, Xiaofu
    Liu, Xuehua
    IEEE ACCESS, 2020, 8 : 100645 - 100651
  • [5] Robust finite-time stability and stabilisation of switched positive systems
    Zhang, Junfeng
    Han, Zhengzhi
    Wu, Hai
    IET CONTROL THEORY AND APPLICATIONS, 2014, 8 (01): : 67 - 75
  • [6] Robust finite-time output feedback stabilisation for a class of uncertain planar systems with asymmetric output constraints
    Lan, Qixun
    Yang, Jun
    Sun, Junwei
    Wang, Yanfeng
    Liu, Na
    INTERNATIONAL JOURNAL OF CONTROL, 2024,
  • [7] Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay
    Muoi, Nguyen H.
    Phat, Vu N.
    Niamsup, Piyapong
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (12): : 1968 - 1975
  • [8] Finite-time stability and stabilisation with polyhedral domains for linear systems
    Esterhuizen, Willem
    Wang, Qing-Guo
    INTERNATIONAL JOURNAL OF CONTROL, 2020, 93 (09) : 2086 - 2094
  • [9] Finite-time robust control of uncertain linear switched systems with comprehensive asynchronous switching
    Nasrollahi, Ali
    Afzalian, Ali A.
    JOURNAL OF CONTROL AND DECISION, 2024,
  • [10] Comment on 'Criteria for robust finite-time stabilisation of linear singular systems with interval time-varying delay'
    Wang Jianxin
    Wu Hecheng
    IET CONTROL THEORY AND APPLICATIONS, 2020, 14 (07): : 999 - 999
12345