一类不确定的2D非线性时滞系统的鲁棒能稳  

Robust Stabilization for a Class of Uncertain Nonlinear 2D Systems with State Delays

作　　者：徐慧玲[1] 邹云[2] 

机构地区：[1]南京理工大学应用数学系,江苏南京210094 [2]南京理工大学自动控制系,江苏南京210094

出　　处：《信息与控制》2005年第4期389-392,共4页Information and Control

基　　金：国家自然科学基金资助项目(60074007);南京理工大学科研发展基金资助项目

摘　　要：研究一类参数不确定的2D时滞系统满足Lipschitz条件的非线性Fornasini-Marchesini模型(简称2-DFMII)的鲁棒能稳问题,即设计静态状态反馈控制律,使得对所有容许的不确定参数,闭环系统稳定.通过求解线性矩阵不等式(LMI),给出了问题可解的充分条件及静态状态反馈控制律的设计方法.最后通过数值算例验证了方法的有效性.This paper discusses the problem of robust stabilization for uncertain 2D discrete state-delayed systems in the Fornasini-Marchesini second local state-space model with a class of generalized Lipschitz nonlinearities. The parameter uncertainty is assumed to be norm-bounded. The purpose of the problem to be addressed is to design state feedback controllers such that the resulting closed-loop system is stable for all admissible uncertainties. In terms of a linear matrix inequality （LMI） , a sufficient condition for the solvability of the robust stabilization problem is obtained, and a desired state feedback controller can be constructed by solving a certain LMI. A numerical example is provided to demonstrate the effectiveness of the proposed approach.

关 键 词：2D非线性系统 状态时滞 鲁棒能稳 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]