Estimator design of discrete-time switched positive linear systems with average dwell time

被引：24
|
作者：
Zhao, Xudong [1 ,2 ]
Yu, Zhandong [1 ]
Yang, Xuebo [1 ]
Li, Hongyi [1 ]
机构：
[1] Bohai Univ, Coll Engn, Jinzhou 121013, Peoples R China
[2] China Univ Petr, Coll Informat & Control Engn, Qingdao 266555, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2014年 / 351卷 / 01期
基金：
中国国家自然科学基金; 国家教育部博士点专项基金资助;
关键词：
H-INFINITY CONTROL; DEPENDENT APPROACH; STABILITY ANALYSIS; STABILIZATION;
D O I：
10.1016/j.jfranklin.2013.09.006
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 paper is concerned with the problem of state estimation for a class of discrete-time switched positive linear systems (SPLS) with average dwell time (ADT) switching. By utilizing the multiple linear copositive Lyapunov function (MLCLF) approach, the ADT switching is introduced to tackle the state estimation of the underlying system. Some sufficient conditions of the existence of the estimator are derived in terms of a set of linear matrix inequalities for the underlying systems with ADT switching. The results for the SPLS under arbitrary switching can he easily obtained by reducing MLCLF to the common linear copositive Lyapunov function used for the system in the literature. Finally, a numerical example is given to show the validity of the obtained theoretical results. (C) 2013 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：579 / 588
页数：10
相关论文
共 50 条
  • [1] Asynchronous Filtering of Discrete-Time Switched Linear Systems With Average Dwell Time
    Zhang, Lixian
    Cui, Naigang
    Liu, Ming
    Zhao, Ye
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2011, 58 (05) : 1109 - 1118
  • [2] Switching controller synthesis for discrete-time switched linear systems with average dwell time
    He, Wei
    Xie, Wei
    Wu, Weilin
    Zhagn, Langwen
    [J]. ARCHIVES OF CONTROL SCIENCES, 2020, 30 (01) : 5 - 22
  • [3] Dwell time stability and stabilization of interval discrete-time switched positive linear systems
    Li, Yang
    Zhang, Hongbin
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2019, 33 : 116 - 129
  • [4] Robust Stabilization of Discrete-Time Positive Switched Systems with Uncertainties and Average Dwell Time Switching
    Junfeng Zhang
    Zhengzhi Han
    Hai Wu
    Jun Huang
    [J]. Circuits, Systems, and Signal Processing, 2014, 33 : 71 - 95
  • [5] Robust Stabilization of Discrete-Time Positive Switched Systems with Uncertainties and Average Dwell Time Switching
    Zhang, Junfeng
    Han, Zhengzhi
    Wu, Hai
    Huang, Jun
    [J]. CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2014, 33 (01) : 71 - 95
  • [6] Stability analysis for discrete-time switched linear singular systems: average dwell time approach
    Chen, Yonggang
    Fei, Shumin
    Zhang, Kanjian
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2013, 30 (02) : 239 - 249
  • [7] State and unknown input estimations for discrete-time switched linear systems with average dwell time
    Guo, Shenghui
    Jiang, Bin
    Zhu, Fanglai
    Gao, Qingbin
    [J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2019, 356 (18): : 11741 - 11759
  • [8] -Dependent model reduction for uncertain discrete-time switched linear systems with average dwell time
    Zhang, Lixian
    Boukas, El-Kebir
    Shi, Peng
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 2009, 82 (02) : 378 - 388
  • [9] RMS gain with dwell time for discrete-time switched linear systems
    Colaneri, Patrizio
    Geromel, Jose C.
    [J]. 2008 MEDITERRANEAN CONFERENCE ON CONTROL AUTOMATION, VOLS 1-4, 2008, : 1342 - +
  • [10] H∞ static output feedback control for discrete-time switched linear systems with average dwell time
    Ding, D. -W.
    Yang, G. -H.
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2010, 4 (03): : 381 - 390
12345