Optimal guaranteed cost control of uncertain discrete time-delay systems

被引：91

作者：

Shi, P ^{[1
]}

Boukas, EK

Shi, Y

Agarwal, RK

机构：

[1] Def Sci & Technol Org, Dept Def, Weap Syst Div, Edinburgh, SA 5111, Australia

[2] Ecole Polytech Montreal, Dept Genie Mech, Montreal, PQ H3C 3A7, Canada

[3] Kyushu Tokai Univ, Sch Engn, Dept Informat & Syst Engn, Kumamoto 86286852, Japan

[4] Washington Univ, Dept Mech Engn, St Louis, MO 63130 USA

[5] Univ S Australia, Sch Math, Ctr Ind & Appl Math, Adelaide, SA 5001, Australia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2003年 / 157卷 / 02期

关键词：

discrete-time system; time delay; parameter uncertainty; quadratically stable; guaranteed cost control;

D O I：

10.1016/S0377-0427(03)00433-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper considers the problem of robust guaranteed cost control of linear discrete time-delay systems with parametric uncertainties. By matrix inequality approach, the robust quadratic stability of the system is studied. A control design method is developed such that the closed-loop system with a cost function has a upper bound irrespective of all admissible parameter uncertainties and unknown time delays. Furthermore, the upper bound (cost) can be optimized by incorporating with a minimization problem. A numerical example is given to show the potential of the proposed techniques. (C) 2003 Elsevier B.V. All rights reserved.

引用

页码：435 / 451

页数：17

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