凸多面体不确定Delta算子切换系统的二次D-稳定性  

Quadratic D-stabilizability of Delta Operator Switched Systems with Polytopic Uncertainties

作　　者：李娟 肖民卿 王佑恩 LI Juan;XIAO Min-qing;WANG You-en(College of Mathematics and Informatics,Fujian Normal University,Fuzhou 350007,China;School of Information Technology,School of Sanming,365004,China)

机构地区：[1]福建师范大学数学与信息学院,福建福州350007 [2]三明学院信息工程学院,福建三明365004

出　　处：《南宁师范大学学报（自然科学版）》2021年第1期1-7,共7页Journal of Nanning Normal University：Natural Science Edition

基　　金：福建省自然科学基金项目(2017J01567)。

摘　　要：研究了凸多面体不确定Delta算子切换系统的二次D-稳定问题.基于线性矩阵不等式方法和Lyapunov稳定性理论,在不要求子系统二次稳定的情况下,给出了使得系统在任意切换律下是二次稳定的的充分条件,并且将系统的极点配置在给定的圆盘区域内.数值算例检验了方法的有效性.The problem of quadratic D-stabilizability of Delta operator switched systems with convex polytopic uncertainties is studied.Based on the Linear Matrix inequality method and Lyapunov stability theory,a sufficient condition is given for the switched systems to be quadratic stable under arbitrary switching laws,and the poles of the system are assigned in a given disk region.An example is given to illustrate the effectiveness of the proposed method.

关 键 词：DELTA算子 切换系统 凸多面体不确定性 二次稳定 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]