一类离散系统的时滞依赖非脆弱保性能控制  

Delay-Dependent and Non-Fragile Guaranteed Cost Control for a Class of Discrete-Time Systems

作　　者：杨雪[1] 刘晓华[1] 

机构地区：[1]烟台师范学院数学与信息学院,山东烟台264025

出　　处：《青岛大学学报（工程技术版）》2005年第3期48-52,共5页Journal of Qingdao University(Engineering & Technology Edition)

基　　金：山东省自然科学基金资助项目(L2003G01)

摘　　要：针对一类具有状态时滞的不确定离散系统,研究了其时滞依赖的非脆弱保性能控制问题。通过引入状态变换,提取出时滞因子,导出了一类离散系统保性能的时滞依赖判据,以线性矩阵不等式(LMI)的形式给出了控制器存在的充分条件,并以LMI的可行解构造出相应的状态反馈控制器。仿真算例表明,可通过调节时滞相关度因子得到不同的时滞界限和控制器增益:减小时滞相关度因子,时滞界限增大、控制器增益减少。The problem of delay-dependent and non-fragile guaranteed cost control is studied for a class of uncertain discrete time-delay systems with time-delay in state. A state transformation is proposed to separate the delay factor out. The delay-dependent criterion is derived for a class of discrete time systems. The sufficient conditions for the existence of non-fragile guaranteed cost controller are derived. The controller is constructed by the feasible solutions of linear matrix inequality （LMI）. A numerical example illustrates that different time-delay limitations and controller gains can be derived through adjusting the time-delay factor of degree of correlation and that the method is feasible. The conclusion is that the time-delay factor of degree of correlation being decreased can cause time-delay limitation increased and controller gain decreased.

关 键 词：离散时滞系统 非脆弱保性能控制 时滞依赖 线性矩阵不等式(LMI) 

分 类 号：TP271.8[自动化与计算机技术—检测技术与自动化装置]