区域极点和多重输出约束下的离散时间系统保性能控制  

Guaranteed Cost Control for Discrete-time Systems under Regional Pole and Multiple Output Constraints

作　　者：王梅[1] 肖民卿[1] 

机构地区：[1]福建师范大学数学与计算机科学学院,福建福州350007

出　　处：《福建师范大学学报（自然科学版）》2012年第6期28-34,共7页Journal of Fujian Normal University：Natural Science Edition

基　　金：福建省高校服务海西建设重点项目(1240104)

摘　　要：对于范数有界参数不确定线性离散时间系统,设计鲁棒状态反馈控制器,使得对所有允许的不确定性,闭环系统极点均落在给定的圆形稳定区域中,系统的某些输出指标满足给定的约束,且系统的性能指标具有最小上界.基于Lyapunov稳定性理论及线性矩阵不等式(LMI)方法,给出鲁棒次优保性能状态反馈控制器存在的充分条件,进而提出最优保性能控制器的设计方法.通过数值算例验证该方法的可行性.Nrm-bounded parameter uncertainties are considered. The objective is to de- sign a robust guaranteed cost state feedback controller, such that for all admissible uncer- tainties, the upper bound of the value of the closed-loop cost function is as small as possible, the poles of the closed-loop system are all inside a prespecified disk on complex plane, and some output constraints hold. Based on Lyapunov theory and linear matrix inequalities （LMI）, a sufficient condition of the existence of a0 -suboptimal robust guaranteed cost controller is presented. And then a design method proposed. A numerical example is provided to method. of optimal robust guaranteed cost controller is demonstrate the effectiveness of the proposed

关 键 词：保性能控制 输出约束 圆形区域极点约束 离散时间系统 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]