基于LMI的不确定随机时滞系统输出反馈保性能控制  

Output Feedback Guaranteed Performance Control for Uncertain Stochastic Time-delay Systems Based on LMI

作　　者：甄玉婕 王天成 ZHEN Yujie;WANG Tiancheng(School of Mathematics and Statistics Science,Ludong University,Yantai 264039,China)

机构地区：[1]鲁东大学数学与统计科学学院,山东烟台264039

出　　处：《鲁东大学学报（自然科学版）》2023年第2期146-152,共7页Journal of Ludong University:Natural Science Edition

基　　金：国家自然科学基金(61573179)。

摘　　要：针对一类范数有界的随机时滞系统,研究在一定性能指标下的保性能控制问题。本文为获得能够实现系统保性能控制的最优输出反馈控制器,采用Lyapunov稳定性理论与LMI技术相结合的方法,将保性能控制问题转化为LMIs约束下的可行解问题。提出的控制器设计方案能够实现系统是依概率全局渐近稳定的,同时满足对系统性能指标的要求。此外,通过数值算例说明所提出控制方案的可行性。The guaranteed cost control for a class of norm-bounded stochastic time-delay systems with certain performance indices is studied.The main purpose of this paper is to obtain the optimal output feedback controller which can achieve guaranteed cost control of the system.By combining Lyapunov stability theory of stochastic systems with LMI technology,the guaranteed cost control problem was transformed into a feasible solution problem under LMIs constraints.The controller design scheme proposed in this paper can ensure that the system is globally asymptotically stable according to probability and achieve the requirements of system performance index.In addition,a numerical example was given to prove the feasibility of the proposed design scheme.

关 键 词：线性矩阵不等式 保性能控制 随机时滞系统 输出反馈 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]