基于观测器的非脆弱控制研究及其在混沌系统中的应用  

Observer-based Non-fragile Control Study and Its Application in Chaotic Systems

作　　者：张学胜 吉明明 章伟[1] ZHANG Xuesheng;JI Mingming;ZHANG Wei(Shanghai University of Engineering Science,Shanghai 201620)

机构地区：[1]上海工程技术大学,上海201620

出　　处：《计算机与数字工程》2022年第4期740-743,共4页Computer & Digital Engineering

摘　　要：研究了递增二次限制非线性系统中基于观测器的非脆弱控制问题。递增二次限制条件包含很多常见的非线性条件,如Lipschitz,扇形非线性,单边Lispchitz条件,作为特例。针对一类满足递增限制条件的非线性系统,设计了基于观测器的非脆弱控制器。基于线性矩阵不等式方法,建立了闭环控制系统渐近稳定的充分条件。最后,使用Lorenz型混沌系统模型进行了计算机仿真,将所设计的控制器应用在了混沌系统中。Observer-based non-fragile control problem for nonlinear systems with incremental quadratic constraints is stud⁃ied.Incremental quadratic constraints include many usual nonlinear constraints,such as Lipschitz,sector and one-side Lipschitz constraints,as particular cases.Observer-based non-fragile controller is designed for a class of nonlinear systems satisfying incre⁃mental quadratic condition.Based on linear matrix inequalities method,sufficient condition is established to make sure the closed-loop system is asymptotic stable.At last,a computer simulation for Lorenz chaotic system is provided to apply the designed controller in chaotic systems.

关 键 词：基于观测器的控制 非脆弱控制 非线性系统 混沌系统 计算机仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]