Switched controller design for stabilization of nonlinear hybrid systems with time-varying delays in state and control

被引：48

作者：

Vu N. Phat ^{[1
]}

机构：

[1] Vietnam Acad Sci & Technol, Inst Math, Hanoi 10307, Vietnam

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 01期

关键词：

Switched controller; Time-varying delay; Stabilization; Nonlinear perturbation; Riccati equation; STABILITY;

D O I：

10.1016/j.jfranklin.2009.09.006

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 deals with the problem of stabilization for a class of hybrid systems with time-varying delays. The system to be considered is with nonlinear perturbation and the delay is time varying in both the state and control. Using an improved Lyapunov-Krasovskii functional combined with Newton-Leibniz formula, a memory less switched controller design for exponential stabilization of switched systems is proposed. The conditions for the exponential stabilization are presented in terms of the solution of matrix Riccati equations, which allow for an arbitrary prescribed stability degree. (c) 2009 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：195 / 207

页数：13

共 22 条

[1]

ABOUKANDIL H, 1982, MATRIX RICCATI EQUAT

[2] Asymptotic stability of certain neutral differential equations [J].

Agarwal, RP ;

Grace, SR .

MATHEMATICAL AND COMPUTER MODELLING, 2000, 31 (8-9) :9-15

[3]

[Anonymous], 2002, Hybrid Dynamical Systems, Controller and Sensor Switching Problems

[4]

[Anonymous], 2005, COMM CONT E

[5]

Boyd S., 1994, LINEAR MATRIX INEQUA

[6]

GOH KC, 1994, IEEE DECIS CONTR P, P2009, DOI 10.1109/CDC.1994.411445

[7]

Hale J.K., 1993, Introduction to Functional Differntial Equations

[8] Exponential stabilization for a class of hybrid systems with mixed delays in state and control [J].

Hien, Le V. ;

Phat, Vu N. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (03) :259-265

[9] Robust stabilization of linear continuous systems subjected to time-varying state delay and perturbations [J].

Lee, CH .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1996, 333B (05) :707-720

[10]

Li ZG, 2000, IEEE DECIS CONTR P, P3610, DOI 10.1109/CDC.2000.912267

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