Dissipativity and feedback passivation for switched discrete-time nonlinear systems

被引:27
|
作者
Li, Jiao [1 ,2 ]
Zhao, Jun [1 ]
Chen, Chao [1 ]
机构
[1] Northeastern Univ, Coll Informat Sci & Engn, State Key Lab Synthet Automat Proc Ind, Shenyang 110819, Peoples R China
[2] Dalian Nationalities Univ, Coll Sci, Dalian 116600, Peoples R China
基金
中国国家自然科学基金;
关键词
Switched systems; Switching law; Dissipativity; Multiple supply rates; Feedback passivation; l(2)-gain; DYNAMICAL-SYSTEMS; STABILITY ANALYSIS; LINEAR-SYSTEMS; PASSIVITY; STABILIZATION; PASSIFICATION; OUTPUT;
D O I
10.1016/j.sysconle.2015.10.005
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 studies dissipativity for switched discrete-time nonlinear systems using multiple storage functions and multiple supply rates. A sufficient condition for dissipativity of the switched nonlinear system is given under some switching law. Then, the result is extended to find a condition under which a switched system is feedback equivalent to a passive switched system. Switched passivity condition and switched l(2)-gain inequalities are, respectively, given, which are generalizations of the classical ones. Furthermore, the assumption of zero dynamics having passivity is relaxed. Passivity is also shown to be preserved under feedback interconnection. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:47 / 55
页数:9
相关论文
共 50 条
  • [21] Strict Passivity and feedback passification of Switched Discrete-time Affine Nonlinear Systems Using Linearization
    Wang, Hanmei
    Zhao, Jun
    PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017), 2017, : 2349 - 2354
  • [22] Output Feedback Passification for Switched Discrete-time Nonlinear Systems and Adaptive Control System Design
    Hongbo Pang
    Shengnan Tan
    Shuo Liu
    International Journal of Control, Automation and Systems, 2022, 20 : 1914 - 1925
  • [23] Stability and static output feedback stabilization for a class of nonlinear discrete-time singular switched systems
    Wei Wang
    Shuping Ma
    Chenghui Zhang
    International Journal of Control, Automation and Systems, 2013, 11 : 1138 - 1148
  • [24] On the stabilization of nonlinear discrete-time systems with output feedback
    Magni, L
    De Nicolao, G
    Scattolini, R
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2004, 14 (17) : 1379 - 1391
  • [25] State feedback stabilization of discrete-time nonlinear systems
    Boutayeb, M
    Bouazza, KE
    Darouach, M
    PROCEEDINGS OF THE 41ST IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-4, 2002, : 3097 - 3098
  • [26] Energy functions for dissipativity-based balancing of discrete-time nonlinear systems
    Lopezlena, Ricardo
    Scherpen, Jacquelien M. A.
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2006, 18 (04) : 345 - 368
  • [27] Energy functions for dissipativity-based balancing of discrete-time nonlinear systems
    Ricardo Lopezlena
    Jacquelien M. A. Scherpen
    Mathematics of Control, Signals and Systems, 2006, 18 : 345 - 368
  • [28] Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay
    Zhengrong Xiang
    Ronghao Wang
    Bin Jiang
    Circuits, Systems, and Signal Processing, 2011, 30 : 73 - 87
  • [29] Nonfragile Observer for Discrete-Time Switched Nonlinear Systems with Time Delay
    Xiang, Zhengrong
    Wang, Ronghao
    Jiang, Bin
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2011, 30 (01) : 73 - 87
  • [30] Stabilization of a Limit Cycle for Discrete-Time Switched Nonlinear Systems
    Deaecto, Grace S.
    Astolfi, Alessandro
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 1253 - 1258