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
收藏
页码：435 / 451
页数：17
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