Exponentially Dissipative Control for Singular Impulsive Dynamical Systems

被引：2

作者：

Yang, Li ^{[1
]}

Liu, Xinzhi ^{[2
]}

Zhang, Zhigang ^{[3
]}

机构：

[1] Liaoning Univ, Sch Math, Shenyang 110036, Liaoning, Peoples R China

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON N2L 3G1, Canada

[3] Hubei Univ Econ, Dept Stat & Appl Math, Wuhan 430205, Peoples R China

来源：

JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME | 2017年 / 139卷 / 04期

基金：

加拿大自然科学与工程研究理事会;

关键词：

exponentially dissipative control; singular dynamical impulsive systems; supply rate; STABILITY;

D O I：

10.1115/1.4035166

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 the problem of exponentially dissipative control for singular impulsive dynamical systems. Some necessary and sufficient conditions for exponential dissipativity of such systems are established in terms of linear matrix inequalities (LMIs). A state feedback controller is designed to make the closed-loop system exponentially dissipative. A numerical example is given to illustrate the feasibility of the method.

引用

页数：6

共 17 条

[1] SMALL-GAIN THEOREM, PASSIVITY THEOREM AND THEIR EQUIVALENCE
ANDERSON, BD
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1972, 293 (02): : 105 - +
[2] [Anonymous], 1989, SINGULAR CONTROL SYS, DOI DOI 10.1007/BFB0002475
[3] Boyd S., 1994, SIAM STUDIES APPL MA
[4] Exponentially dissipative nonlinear dynamical systems: A nonlinear extension of strict positive realness
Chellaboina, V
Haddad, WM
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (1-2) : 25 - 45
[5] Non-linear impulsive dynamical systems. Part I: Stability and dissipativity
Haddad, WM
Chellaboina, V
Kablar, NA
[J]. INTERNATIONAL JOURNAL OF CONTROL, 2001, 74 (17) : 1631 - 1658
[6] STABILITY RESULTS FOR NONLINEAR FEEDBACK-SYSTEMS
HILL, DJ
MOYLAN, PJ
[J]. AUTOMATICA, 1977, 13 (04) : 377 - 382
[7] DISSIPATIVE DYNAMICAL-SYSTEMS - BASIC INPUT-OUTPUT AND STATE PROPERTIES
HILL, DJ
MOYLAN, PJ
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1980, 309 (05): : 327 - 357
[8] On a class of marginally stable positive real systems
Joshi, SM
Gupta, S
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (01) : 152 - 155
[9] Robust dissipativity for uncertain impulsive dynamical systems
Liu, B
Liu, X
Liao, X
[J]. MATHEMATICAL PROBLEMS IN ENGINEERING, 2003, (3-4) : 119 - 128
[10] Stability analysis for systems with impulse effects
Shen, Jianhua
Jing, Zhujun
[J]. INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2006, 45 (09) : 1715 - 1729

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