Reliable L1 control of positive switched systems with time-varying delays

被引：1
|
作者：
Xiang, Mei [1 ]
Xiang, Zhengrong [1 ]
机构：
[1] Nanjing Univ Sci & Technol, Sch Automat, Nanjing 210094, Jiangsu, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2013年
基金：
中国国家自然科学基金;
关键词：
reliable control; positive systems; switched systems; time-varying delays; LMI; H-INFINITY CONTROL; LYAPUNOV FUNCTIONS; STABILITY ANALYSIS; STABILIZATION; MODEL;
D O I：
10.1186/1687-1847-2013-25
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with the reliable L-1 control problem of positive switched systems with time-varying delays. Under the case where both stable and unstable subsystems coexist, sufficient conditions are proposed to guarantee the exponential stability of positive switched systems with time-varying delays, and the average dwell time approach is utilized for the stability analysis. The result is also extended to solve the reliable L-1 control problem. All the results are formulated in a set of linear matrix inequalities (LMIs), which can be easily verified or implemented. The obtained theoretical results are demonstrated by a numerical example.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] Stability for Switched Systems with Interval Time-varying Delays
    Liu, Duyu
    Huang, Qinzhen
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 4044 - 4049
  • [42] Discrete Time L1 Adaptive Control for Systems with Time-varying Parameters and Disturbances
    Elnaggar, Mahmoud
    Saad, Mohamed S.
    Fattah, Hossam Abdel
    Elshafei, Abdel Latif
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 2115 - 2120
  • [43] A switched system approach to H∞ control of networked control systems with time-varying delays
    Zhang, Wen-An
    Yu, Li
    Yin, Shu
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2011, 348 (02): : 165 - 178
  • [44] Finite-Time Stabilization of Uncertain Switched Positive Linear Systems with Time-Varying Delays
    Yu, Tianjian
    Zhong, Yanke
    Chen, Tefang
    Chen, Chunyang
    DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2015, 2015
  • [45] Improved Switched System Approach to Networked Control Systems With Time-Varying Delays
    Li, Tongxiang
    Zhang, Wen-An
    Yu, Li
    IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY, 2019, 27 (06) : 2711 - 2717
  • [46] H∞ sliding mode control of discrete switched systems with time-varying delays
    Han, Yueqiao
    Kao, Yonggui
    Gao, Cunchen
    Zhao, Jingjing
    Wang, Changhong
    ISA TRANSACTIONS, 2019, 89 : 12 - 19
  • [47] Hybrid control of switched LFT uncertain systems with time-varying input delays
    Yuan, Chengzhi
    Gu, Yan
    Zeng, Wei
    INTERNATIONAL JOURNAL OF CONTROL, 2022, 95 (12) : 3437 - 3448
  • [48] Tracking control for switched time-varying delays systems with stabilizable and unstabilizable subsystems
    Li, Qing-Kui
    Zhao, Jun
    Dimirovski, Georgi M.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (02) : 133 - 142
  • [49] A Solution to the Tracking Control Problem for Switched Linear Systems with Time-Varying Delays
    Li, Qing-Kui
    Dimirovski, Georgi M.
    Zhao, Jun
    47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 5348 - 5353
  • [50] Robust Control for Uncertain Switched Systems with Interval Nondifferentiable Time-Varying Delays
    La-inchua, T.
    Niamsup, P.
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345