%0 Journal Article
%T Optimal Guaranteed Cost Control for Discrete Time Uncertain Time-Delay Systems with Control Input Constraints
具有控制约束的不确定离散时滞系统最优保性能控制
%A XU Jian-ming
%A YU Li
%A
徐建明
%A 俞立
%J 系统工程理论与实践
%D 2004
%I
%X For a class of discrete-time state delay systems with norm-bounded time-varying parameter uncertainty and control input constraints, this paper addresses the problem of designing an optimal guaranteed cost state feedback controller. A condition for the existence of guaranteed cost controllers is derived. Furthermore, it is shown that this condition is equivalent to the feasibility problem of a certain linear matrix inequality system, and its solutions provide a parametrized representation of guaranteed cost controllers. Based on that fact, the design problem of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques. Finally, an example is given to illustrate the proposed results.
%K discrete-time state delay systems
%K control constraints
%K guaranteed cost control
%K linear matrix inequalities
离散时滞系统
%K 控制约束
%K 保成本控制
%K 线性矩阵不等式
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=962324E222C1AC1D&jid=1D057D9E7CAD6BEE9FA97306E08E48D3&aid=93A3011B92B389F0&yid=D0E58B75BFD8E51C&vid=B91E8C6D6FE990DB&iid=708DD6B15D2464E8&sid=7E8E8B150580E4AB&eid=39EEF47180459690&journal_id=1000-6788&journal_name=系统工程理论与实践&referenced_num=0&reference_num=7