一类不确定时滞广义系统的鲁棒H_∞控制  

Non-fragile Robust Control for a Class of Singular Systems with Time-delay

作　　者：李洁坤[1] 穆春来[2] 

机构地区：[1]柳州师范高等专科学校数学与计算机科学系,广西柳州545004 [2]重庆大学数理学院,重庆400044

出　　处：《云南师范大学学报（自然科学版）》2009年第4期22-26,共5页Journal of Yunnan Normal University:Natural Sciences Edition

基　　金：广西教育厅科研资助项目(200707MS063)

摘　　要：针对一类状态和输入均带有时滞和扰动且输出带有扰动的不确定广义系统,研究了该系统的鲁棒控制问题.利用R iccati方程的方法通过选择适当的lyapunov函数,得到该广义系统渐近稳定的充分条件.并基于R iccati方程给出了该控制器的设计方法.使得对于所有允许的不确定性,闭环系统渐近稳定且其有性能指标。This paper studies the problem of robust control for a class of uncertainty singular systems with time delay and disturbance both in state and input, and disturbance in output. By means of Riceati equation approach, a sufficient condition is obtained for a singular system by using Riccati equation approach and choosing an appropriate Lyapunov function. For such controller is derived in terms of the solutions of Riccati equations. For all admissible uncertainties, the closed -loop system is robustly asymptotically stable and satisfies a prescribed performance.

关 键 词：不确定广义系统 时滞 鲁棒控制 RICCATI方程 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]