H∞ Control Design for Time-Delay Linear Systems: A Rational Transfer Function Based Approach

被引：4

作者：

Korogui, Rubens H. ^{[1
]}

Fioravanti, Andre R. ^{[2
]}

Geromel, Jose C. ^{[3
]}

机构：

[1] ECA UNESP Sorocaba, BR-18087180 Sorocaba, SP, Brazil

[2] Supelec, INRIA Saclay, F-91192 Gif Sur Yvette, France

[3] Univ Estadual Campinas, DSCE Sch Elect & Comp Engn, BR-13083852 Campinas, SP, Brazil

来源：

EUROPEAN JOURNAL OF CONTROL | 2012年 / 18卷 / 05期

基金：

巴西圣保罗研究基金会;

关键词：

Time-delay systems; linear systems; H-infinity control design; STABILITY;

D O I：

10.3166/EJC.18.425-436

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The aim of this paper is to present new results on H-infinity control synthesis for time-delay linear systems. We extend the use of a finite order LTI system, called comparison system to H-infinity analysis and design. Differently from what can be viewed as a common feature of other control design methods available in the literature to date, the one presented here treats time-delay systems control design with classical numeric routines based on Riccati equations arisen from H-infinity theory. The proposed algorithm is simple, efficient and easy to implement. Some examples illustrating state and output feedback design are solved and discussed in order to put in evidence the most relevant characteristic of the theoretical results. Moreover, a practical application involving a 3-DOF networked control system is presented.

引用

页码：425 / 436

页数：12

共 26 条

[1] Boukas E. K., 2002, CONTROL ENGN SER BIR
[2] CONTINUITY OF THE NULL SPACE BASIS AND CONSTRAINED OPTIMIZATION
BYRD, RH
SCHNABEL, RB
[J]. MATHEMATICAL PROGRAMMING, 1986, 35 (01) : 32 - 41
[3] Observer-based H-infinity controller design for state delayed linear systems
Choi, HH
Chung, MJ
[J]. AUTOMATICA, 1996, 32 (07) : 1073 - 1075
[4] Colaneri P., 1997, CONTROL THEORY DESIG
[5] Assessing Stability of Time-Delay Systems using Rational Systems
de Oliveira, Mauricio C.
Souza, Fernando O.
Palhares, Reinaldo M.
[J]. 47TH IEEE CONFERENCE ON DECISION AND CONTROL, 2008 (CDC 2008), 2008, : 4012 - 4017
[6] Synthesis of non-rational controllers for linear delay systems
de Oliveira, MC
Geromel, JC
[J]. AUTOMATICA, 2004, 40 (02) : 171 - 188
[7] A descriptor system approach to H∞ control of linear time-delay systems
Fridman, E
Shaked, U
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (02) : 253 - 270
[8] New bounded real lemma representations for time-delay systems and their applications
Fridman, E
Shaked, U
[J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (12) : 1973 - 1979
[9] H-infinity control via output feedback for state delayed systems
Ge, JH
Frank, PM
Lin, CF
[J]. INTERNATIONAL JOURNAL OF CONTROL, 1996, 64 (01) : 1 - 7
[10] GU K., 2003, CONTROL ENGN SER BIR

← 1 2 3 →