不确定变时滞系统的鲁棒非脆弱H_∞控制  

Robust Non-fragile H_∞ Control for Uncertain Time-varying Delay Systems

作　　者：罗跃生[1] 董晓璋[1] 孙明丽[1] 

机构地区：[1]哈尔滨工程大学理学院,黑龙江哈尔滨150001

出　　处：《控制工程》2008年第3期265-268,共4页Control Engineering of China

摘　　要：针对一类参数不确定时变时滞线性系统,研究了鲁棒非脆弱H∞控制器的设计问题。首先利用积分不等式和引入自由权矩阵的方法,得到了系统稳定及非脆弱控制器存在的一个充分条件;然后将其转化为线性矩阵不等式(LMI)表示,通过线性矩阵不等式的可行解构造非脆弱控制器,保证了闭环系统渐近稳定且满足一定的H∞干扰抑制水平,得到的稳定化条件是依赖时滞大小且不要求时滞函数的导数信息,即适用于时滞快速变化的系统。仿真实例表明了该方法的有效性和可行性。To uncertain time-varying linear systems with time-delay, the problem of robust non-fragile H∞ controller design is studied. A sufficient condition of existence of non-fragile controller is obtained by using integral inequality and free-weighting matrix method. Based on the linear matrix inequality（LMI）approach, the sufficient condition could be transformed to an LMI. The controller is easily constructed by the feasible solution. The obtained controller guarantees the robust stability and a prescribed H∞ performance of the resulting closed-loop system. The stabilization condition depends on size of delay and requires no information about the derivate of time-delay, which can be used to deal with the systems with fast time-varying delay. The simulation result shows the validity and feasibility of the approach.

关 键 词：非脆弱控制 鲁棒H∞控制 不确定系统 时滞依赖 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]