不确定非线性广义时滞系统的时滞相关鲁棒最优H_∞控制  

Delay dependent robust control for optimal H infinite generalized nonlinear systems with uncertain state delay

作　　者：李权[1] 斯琴[1] 海泉[2] 

机构地区：[1]河套学院理学系,内蒙古巴彦淖尔015000 [2]内蒙古师范大学数学科学学院,内蒙古呼和浩特010022

出　　处：《自动化与仪器仪表》2015年第2期89-91,共3页Automation & Instrumentation

基　　金：内蒙古自治区高等学校科学研究项目(NJZY14335)

摘　　要：针对一类具有非线性扰动的不确定广义时滞系统,研究了鲁棒最优H∞控制问题.利用矩阵不等式和引入自由矩阵的方法,得到闭环系统正则、无脉冲、渐近稳定的且具有H∞范数有界的时滞相关充分条件.基于相应的线性矩阵不等式可行解,给出广义系统的H∞控制律,并且给出的数值仿真例子说明了方法的有效性。The robust optimal H∞control problem is studied for a class of uncertain nonlinear disturbance of generalized systems with time-delay. Using linear matrix inequality and introducing free matrix m-ethod, Closed loop system regular, no pulse, asymptotic stability and has H∞norm bounded delay-depe-ndent sufficient conditions are obtained. Based on the corresponding linear matrix inequality（LMI） feas-ible solution, H∞control law for generalized systems is given. And the numerical simulation examples are given the validity of the proposed method.

关 键 词：广义系统 时滞相关 线性矩阵不等式 H∞控制 

分 类 号：TP273.4[自动化与计算机技术—检测技术与自动化装置]