A descriptor system approach to guaranteed cost control for nonlinear neutral systems

被引：0

作者：

Hu, Heli ^{[1
]}

Gu, Shusheng ^{[1
]}

Zhang, Qingling ^{[2
]}

Niu, Hong ^{[2
]}

机构：

[1] Shenyang Univ, Key Lab Mfg Ind Integrated Automat, Shenyang 110044, Liaoning Provin, Peoples R China

[2] Northeastern Univ, Inst Syst Sci, Shenyang 110044, Liaoning Provin, Peoples R China

来源：

2010 8TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA) | 2010年

关键词：

Descriptor system approach; Neutral system; Guaranteed cost control; Time-varying delay; Linear matrix inequality(LMI); UNCERTAIN LINEAR-SYSTEMS; DELAY SYSTEMS; DISTRIBUTED DELAYS; LMI APPROACH; STATE; STABILITY; INPUT;

D O I：

10.1109/WCICA.2010.5553903

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 investigates the guaranteed cost control and optimization design for a class of nonlinear neutral systems. Using a descriptor system model transformation approach, a sufficient condition for the existence of guaranteed cost controller is given in terms of linear matrix inequalities(LMIs). In this method, the nonlinear parameter perturbation is viewed as effective information. Further, the design of an optimal guaranteed cost controller is reduced to a convex optimization problem. Finally, two examples are given to illustrate the controller design method and show the advantages of the obtained results over the existing results in the literatures.

引用

页码：3632 / 3637

页数：6

共 17 条

[1] Boyd S., 1994, LINEAR MATRIX INEQUA
[2] Delay-dependent robust stabilization for uncertain neutral systems with distributed delays
Chen, Wu-Hua
Zheng, Wei Xing
[J]. AUTOMATICA, 2007, 43 (01) : 95 - 104
[3] Gahinet P., 1995, LMI Control Toolbox
[4] A descriptor system approach to robust stability of uncertain neutral systems with discrete and distributed delays
Han, QL
[J]. AUTOMATICA, 2004, 40 (10) : 1791 - 1796
[5] A linear matrix inequality approach for guaranteed cost control of systems with state and input delays
Kosmidou, Olga I.
Boutalis, Yiannis S.
[J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART A-SYSTEMS AND HUMANS, 2006, 36 (05): : 936 - 942
[6] Lee Y. S., 2001, P AM CONTR C ARL VA, V43, P3376
[7] Non-fragile guaranteed cost control for uncertain neutral dynamic systems with time-varying delays in state and control input
Lien, Chang-Hua
[J]. CHAOS SOLITONS & FRACTALS, 2007, 31 (04) : 889 - 899
[8] Design of performance robustness for uncertain linear systems with state and control delays
Luo, JS
van den Bosch, PPJ
Weiland, S
Goldenberge, A
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (11) : 1593 - 1596
[9] An LMI approach to decentralized guaranteed cost control for a class of uncertain nonlinear large-scale delay systems
Mukaidani, H
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 300 (01) : 17 - 29
[10] Robust guaranteed cost control for uncertain linear differential systems of neutral type
Park, JH
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2003, 140 (2-3) : 523 - 535

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