基于观测器的广义时滞系统最优保成本控制  

Observer-Based Optimal Guaranteed Cost Control of Singular Time-Delay Systems with Uncertainties

作　　者：冯毅夫[1] 张庆灵[1] 杨帆[1] 

机构地区：[1]东北大学理学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2007年第4期465-468,476,共5页Journal of Northeastern University(Natural Science)

基　　金：国家自然科学基金资助项目(60574011);辽宁省普通高校学科带头人基金项目(124210);四平市科技发展计划项目(四科合字第2005020号)

摘　　要：讨论一类含有参数不确定性且具有状态滞后的广义时滞系统的观测器型最优保成本控制器设计问题.不确定性假设是时变的且范数有界.通过基于状态观测器的线性状态反馈控制并采用一种新方法,结合凸优化理论得到了不确定广义时滞系统的最优保成本控制器的设计方法.该控制器的设计使得在满足一定的条件下对所有的不确定性,广义时滞系统是鲁棒可镇定的且二次型保成本指标最小,并证明了所得结论等价于一组线性矩阵不等式(LMIs)的可解性问题.最后给出实际算例验证了设计方法的有效性.Discusses the design of an observer-based optimal guaranteed cost controller for a class of singular systems with state-delay and parameter uncertainties. The uncertainties are assumed to be time-varying and norm-bounded. The sufficient conditions enabling a singular system with observer-based guaranteed cost controller to stabilize its linear state feedback is obtained by use of a new method in combination with the convex optimization theory. The obtained control law that the descriptor time-delay systems is robust stabilizable and the quadratic guaranteed cost function value is optimal in the sense of minimizing the upper bound of the cost function as proposed. It is also shown that these conditions are equivalent to the solvability of some linear matrix inequalities. A numerical example was provided to prove the validity of the proposed method.

关 键 词：观测器 最优保成本控制 广义时滞系统 线性矩阵不等式 凸优化 不确定性 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]