不确定离散时滞系统的保成本控制  

Guaranteed Cost Control for Uncertain Discrete Systems With Delay

作　　者：陈芳信[1] 伍良坤[1] 

机构地区：[1]空军雷达学院四系,武汉430019

出　　处：《空军雷达学院学报》2011年第1期50-52,共3页Journal of Air Force Radar Academy

摘　　要：针对不确定离散时滞系统的保成本控制问题,给出了闭环系统稳定的充分条件,提出了一种基于Lyapunov稳定性理论的控制器的设计方法.利用矩阵变换,将离散时滞系统转化为一个不含滞后项的离散系统.对给定的成本函数,通过构造一类参数相关的Lyapunov函数,利用线性矩阵不等式,导出了该反馈控制律的求解过程.当系统参数在某一确定区间变化时,该控制器既能确保系统闭环稳定,也能保证闭环成本不超过某个界.通过仿真实例,说明了该方法的有效性.This paper aims to the problem of guaranteed cost control for uncertain discrete time-delay systems,gives the sufficient conditions for the stability of the closed-loop system and presents a design scheme for the controller based on Lyapunovs stability theory.By using the matrix transform,a discrete time-delay system is transformed into the one that contains no delay term.Concerning for a given cost function,through constructing a class of Lyapunov function with related parameters,the solution procedure of its feedback control law is derived by using linear matrix inequality.When the system parameters change in a certain interval,the designed controller can guarantee both the system to be closed-loop stable and the closed-loop cost not to be beyond a certain bound.Finally,by taking some simulation examples,it shows the availability of the proposed scheme.

关 键 词：离散时滞系统 保成本控制 线性矩阵不等式 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置] TP391.9[自动化与计算机技术—控制科学与工程]