Finite-time H∞ control of a switched discrete-time system with average dwell time

被引：5
作者：
Zhong, Qishui [1 ]
Cheng, Jun [2 ]
Zhong, Shouming [3 ]
机构：
[1] Univ Elect Sci & Technol China, Sch Aeronaut & Astronaut, Chengdu 6117311, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 611731, Sichuan, Peoples R China
[3] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu 611731, Sichuan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金：
中国博士后科学基金;
关键词：
H-infinity finite-time stability; switched discrete-time system; Lyapunov-Krasovskii function; H-infinity control; LINEAR-SYSTEMS; EXPONENTIAL STABILITY; DELAY SYSTEMS; STABILIZATION;
D O I：
10.1186/1687-1847-2013-191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
For switched discrete-time systems, switching behavior always affects the finite-time stability property, which was neglected by most previous research. This paper investigates the problem of H-infinity control for a switched discrete-time system with average dwell time. Based on the results on finite-time boundned and average dwell time, sufficient conditions for finite-time bounded and finite-time H-infinity control under arbitrary switching are derived, and the closed-loop system trajectory stays within a prescribed bound. Finally, an example is given to illustrate the efficiency of the proposed method.
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收藏
页数：13
相关论文
共 40 条
  • [1] Finite-time control of discrete-time linear systems
    Amato, F
    Ariola, M
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2005, 50 (05) : 724 - 729
  • [2] Finite-time control of discrete-time linear systems: Analysis and design conditions
    Amato, Francesco
    Ariola, Marco
    Cosentino, Carlo
    [J]. AUTOMATICA, 2010, 46 (05) : 919 - 924
  • [3] [Anonymous], P AMER CONTR CONF
  • [4] Ben Attia S, 2012, INT J INNOV COMPUT I, V8, P3203
  • [5] Finite-Time Stabilization of H∞ Filtering for Switched Stochastic Systems
    Cheng, Jun
    Zhu, Hong
    Zhong, Shouming
    Zhang, Yuping
    Zeng, Yong
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2013, 32 (04) : 1595 - 1613
  • [6] Dorato P., 1961, Short-time stability in linear time-varying systems
  • [7] Finite-time stabilization and stabilizability of a class of controllable systems
    Hong, YG
    [J]. SYSTEMS & CONTROL LETTERS, 2002, 46 (04) : 231 - 236
  • [8] Hou LL, 2012, INT J INNOV COMPUT I, V8, P4901
  • [9] Global finite-time stabilization of a class of uncertain nonlinear systems
    Huang, XQ
    Lin, W
    Yang, B
    [J]. AUTOMATICA, 2005, 41 (05) : 881 - 888
  • [10] H∞-filtering and state feedback control for discrete-time switched descriptor systems
    Koenig, D.
    Marx, B.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2009, 3 (06) : 661 - 670
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