一类不确定离散系统的时滞依赖保成本H_∞控制  

Delay-Dependent and Guaranteed Cost H_∞ Control for a Class of Discrete-Time Systems

作　　者：尹志刚[1] 何建新[1] 

机构地区：[1]九江学院理学院,九江332005

出　　处：《九江学院学报》2009年第6期84-87,共4页JOurnal of Jiujiang University :Social Science Edition

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保成本与鲁棒H∞控制问题.通过引入状态变换,提取出时滞因子,基于Lyapunov稳定性理论和线性矩阵不等式(LMI)方法,得到了保成本H∞状态反馈控制器存在的一个充分条件,以LMI的可行解构造出相应的状态反馈控制律.算例验证了该设计方法的有效性,并且可以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K.The problem of guaranteed cost and robust H∞ control was studied for a class of uncertain discrete time - delay systems with delay - dependent and time - delay in state. A state transformation was proposed to Separate the delay factor out. Based on Lyapunov stability theory and the linear matrix inequalities （LMI） approach, a sufficient condition was presented for the existence of guaranteed cost H∞ state feedback controller. The state feedback controller was construeted by the feasible solutions of linear matrix inequality （LMI）. A numeric example was given to demonstrate the effectiveness of the method, and the example illustrated that different time - delay limitations and controller gains K could be de- rived through adjusting the time - delay factor of degree of correlation.

关 键 词：不确定离散时滞系统 时滞依赖 保成本控制 鲁棒H∞控制 线性矩阵不等式 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]