Dissipative Control for Singular Impulsive Dynamical Systems

被引:0
|
作者
Yang, Li [1 ,2 ]
Liu, Xinzhi [1 ]
Zhang, Zhigang [1 ,3 ]
机构
[1] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada
[2] Liaoning Univ, Coll Math, Shenyang 110036, Liaoning, Peoples R China
[3] Hubei Univ Econ, Dept Stat & Appl Math, Wuhan, Peoples R China
关键词
Dissipative control; singular dynamical impulsive systems; supply rate; STABILITY;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this work is to study the dissipative control problem for singular impulsive dynamical systems. We start by introducing the impulse to the singular systems, and give the definition of the dissipation for singular impulsive dynamical systems. Then we discuss the dissipation of singular impulsive dynamical systems, we obtain some sufficient and necessary conditions for dissipation of these systems by solving some linear matrix inequalities (LMIs). By using this method, we design a state feedback controller to make the closed-loop system dissipative. At last, we testify the feasibility of the method by a numerical example.
引用
下载
收藏
页码:1 / 11
页数:11
相关论文
共 50 条
  • [1] Exponentially Dissipative Control for Singular Impulsive Dynamical Systems
    Yang, Li
    Liu, Xinzhi
    Zhang, Zhigang
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2017, 139 (04):
  • [2] Dissipative Control for Discrete Singular Impulsive Dynamical Systems
    Yang Li
    Liu Xinzhi
    Zhang Zhigang
    2011 30TH CHINESE CONTROL CONFERENCE (CCC), 2011, : 203 - 207
  • [3] Feedback stabilization of dissipative impulsive dynamical systems
    Liu, Bin
    Liu, Xinzhi
    Teo, Kok Lay
    INFORMATION SCIENCES, 2007, 177 (07) : 1663 - 1672
  • [4] DISSIPATIVE CONTROL FOR UNCERTAIN SINGULAR MARKOVIAN JUMP SYSTEMS VIA HYBRID IMPULSIVE CONTROL
    Lv, Hui
    Wang, Xing'an
    NUMERICAL ALGEBRA CONTROL AND OPTIMIZATION, 2021, 11 (01): : 127 - 142
  • [5] Reliable Dissipative Control for a Class of Uncertain Singular Markovian Jump Systems via Hybrid Impulsive Control
    Lv, Hui
    Zhang, Qingling
    Ren, Junchao
    ASIAN JOURNAL OF CONTROL, 2016, 18 (02) : 539 - 548
  • [6] Singular invariant probability densities in dissipative dynamical systems
    Ramshaw, John D.
    EUROPEAN JOURNAL OF PHYSICS, 2019, 40 (05)
  • [7] Reliable dissipative control for stochastic impulsive systems
    Zhang, Hao
    Guan, Zhi-Hong
    Feng, Gang
    AUTOMATICA, 2008, 44 (04) : 1004 - 1010
  • [8] On the Distance to Singular Descriptor Dynamical Systems With Impulsive Initial Conditions
    Kothyari, Ashish
    Das, Biswajit
    Bora, Shreemayee
    Belur, Madhu N.
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (03) : 1137 - 1149
  • [9] Reliable Dissipative Control for Singular Markovian Systems
    Feng, Zhiguang
    Lam, James
    ASIAN JOURNAL OF CONTROL, 2013, 15 (03) : 901 - 910
  • [10] Robust Dissipative Control for A Class of Singular Systems
    Yang, Li
    Zhang, Qingling
    ASCC: 2009 7TH ASIAN CONTROL CONFERENCE, VOLS 1-3, 2009, : 1040 - 1043