A min-max approach to multi-objective guaranteed cost control of linear systems with uncertainties

被引：0

作者：

Wang DeJin ^{[1
]}

机构：

[1] Tianjin Univ Sci & Technol, Sch Elect Informat & Automat, Tianjin 300222, Peoples R China

来源：

Proceedings of the 24th Chinese Control Conference, Vols 1 and 2 | 2005年

关键词：

uncertain system; guaranteed cost control; multi-objective control; min-max optimization; robust control; linear matrix inequality (LNH); TIME-DELAY SYSTEMS; LMI APPROACH;

D O I：

暂无

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 discusses the min-max approach to multi-objective guaranteed cost control for continuous-time linear systems with norm-bounded uncertainties. The designed state-feedback control law guarantees, for all admissible uncertainties, the closed-loop stability, and at the same time, optimizes the multi-objective cost functions in the min-max sense. A vector-valued weighting factor is introduced to balance the confliction among the competing objectives. Using the linear matrix inequality (LMI) technique, the problem is converted into a linear convex optimization algorithm so that a global optimization solution is obtained. Finally, simulation result shows the effectiveness of the proposed method.

引用

页码：426 / 428

页数：3

共 8 条

[1]

[Anonymous], DETERMINISTIC STOCHA

[2] ADAPTIVE GUARANTEED COST CONTROL OF SYSTEMS WITH UNCERTAIN PARAMETERS [J].

CHANG, SSL ;

PENG, TKC .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1972, AC17 (04) :474-&

[3] LMI approach to suboptimal guaranteed cost control for uncertain time-delay systems [J].

Esfahani, SH ;

Moheimani, SOR ;

Petersen, IR .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1998, 145 (06) :491-498

[4] Robust optimal guaranteed cost control for 2D discrete systems [J].

Guan, X ;

Long, C ;

Duan, G .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 2001, 148 (05) :355-361

[5] Robust guaranteed cost control for discrete-time uncertain systems with delay [J].

Guan, X ;

Lin, Z ;

Duan, G .

IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1999, 146 (06) :598-602

[6] MULTIPLE OBJECTIVE OPTIMAL-CONTROL OF LINEAR-SYSTEMS - THE QUADRATIC NORM CASE [J].

KHARGONEKAR, PP ;

ROTEA, MA .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1991, 36 (01) :14-24

[7] Guaranteed cost control of uncertain discrete systems with delays [J].

Mahmoud, MS ;

Xie, LH .

INTERNATIONAL JOURNAL OF CONTROL, 2000, 73 (02) :105-114

[8] An LMI approach to guaranteed cost control of linear uncertain time-delay systems [J].

Yu, L ;

Chu, J .

AUTOMATICA, 1999, 35 (06) :1155-1159

← 1 →