On stability and performance analysis of discrete uncertain systems

被引：0
|
作者：
Gao, Huijun [1 ]
Ling, Mingxiang [1 ]
Wang, Changhong [1 ]
机构：
[1] Harbin Inst Technol, Space Control & Inertial Technol Res Ctr, Harbin 150001, Peoples R China
来源：
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS | 2006年 / 13卷 / 06期
关键词：
discrete-time systems; linear matrix inequality; multiple Lyapunov function; uncertain systems; robust stability;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a new linear matrix inequality based stability result for uncertain discrete-time linear systems, which is derived by defining a multiple-Lyapunov function and by using a new bounding technique. This new bounding technique has two advantages: (1) possible to yield less conservative results, which is shown via a numerical example; and (2) flexible to cope with more complicated problems, which is illustrated by presenting a new H-infinity performance condition. It is anticipated that the idea behind this paper can be further extended to deal with synthesis problems.
引用
收藏
页码：823 / 833
页数：11
相关论文
共 50 条
  • [21] Stability analysis for a class of uncertain discrete singularly perturbed systems with multiple time delays
    Chen, CF
    Pan, ST
    Hsieh, JG
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2002, 124 (03): : 467 - 472
  • [22] ROBUST EXPONENTIAL STABILITY ANALYSIS OF UNCERTAIN DISCRETE TIME-VARYING LINEAR SYSTEMS
    Yao, Yu
    Liu, Kai
    Balakrishnan, Venkataramanan
    She, Wenxue
    Zhang, Jianhong
    ASIAN JOURNAL OF CONTROL, 2014, 16 (06) : 1820 - 1828
  • [23] Robust stability analysis and control synthesis for discrete-time uncertain switched systems
    Xie, DM
    Wang, L
    Hao, F
    Xie, GM
    42ND IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-6, PROCEEDINGS, 2003, : 4812 - 4817
  • [24] D-stability analysis for a class of uncertain discrete systems with multiple time delays
    Chen, CF
    Pan, ST
    Hsieh, JG
    JSME INTERNATIONAL JOURNAL SERIES C-MECHANICAL SYSTEMS MACHINE ELEMENTS AND MANUFACTURING, 2002, 45 (02) : 601 - 605
  • [25] Stability analysis and stabilization of uncertain two-dimensional discrete systems: An LMI approach
    Du, C
    Xie, L
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1999, 46 (11): : 1371 - 1374
  • [26] Analysis of robust stability for uncertain discrete singular systems with time-varying delay
    Mao, W. (wjmao@iipc.zju.edu.cn), 1600, Southeast University, 2 Sipailou, Nanjing, 210096, China (42):
  • [27] Robust D-Stability analysis for uncertain discrete singular systems with state delay
    Xu, SY
    Lam, J
    Zhang, LQ
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2002, 49 (04): : 551 - 555
  • [28] Stability analysis of discrete systems
    A. A. Martynyuk
    International Applied Mechanics, 2000, 36 : 835 - 865
  • [29] Stability and guaranteed cost control of uncertain discrete delay systems
    Fridman, E
    Shaked, U
    INTERNATIONAL JOURNAL OF CONTROL, 2005, 78 (04) : 235 - 246
  • [30] Stability analysis of discrete systems
    Martynyuk, AA
    INTERNATIONAL APPLIED MECHANICS, 2000, 36 (07) : 835 - 865
12345