摘要
为构造静态输出反馈控制器,使闭环系统对任意不确定参数都是容许且保成本的,本文采用静态输出反馈控制,对具有范数有界不确定性的广义Delta算子系统的保成本控制问题进行研究。利用矩阵不等式方法,给出静态输出反馈保成本控制器存在的充分条件,并在此基础上给出静态输出反馈控制器的设计方法,保证其闭环系统容许且给定性能指标有指定上界。同时,利用MatlabLMI工具箱求解一个数值算例,以验证本文理论结果的有效性和正确性。计算结果表明,本文所设计的反馈控制器是有效和正确性的。该研究在控制理论和控制工程领域具有较好的现实意义。
This paper mainly investigates the problem of output feedback guaranteed cost control for a class of singular delta operator systems with norm-bounded uncertainty. The purpose is to design a static output feed-back controller for an uncertain singular delta operator system such that for all allowed uncertainties, the closed-loop system is admissible and the cost function does not exceed a given upper bound. According to the existing research results of the author, a sufficient condition for the existence of the static output feedback guaranteed cost controller is given through matrix inequality methods, and on this basis, the method of static output feedback controller is designed, such that the closed-loop system is admissible and the cost function does not exceed a given upper bound. A numerical example is provided to demonstrate the effectiveness and correct-ness of the theoretical results in this paper.
出处
《青岛大学学报（工程技术版）》
CAS
2017年第2期51-56,共6页
Journal of Qingdao University(Engineering & Technology Edition)
