非线性不连续系统的稳定与镇定

项目名称： 非线性不连续系统的稳定与镇定

项目编号： No.60874006

项目类型： 面上项目

立项/批准年度： 2009

项目学科： 金属学与金属工艺

项目作者： 慕小武

作者单位： 郑州大学

项目金额： 30万元

中文摘要： 主要着重于右端非光滑或不连续系统Filippov解定义下的稳定与镇定、Caratheodory解的稳定性、Caratheodory解稳定意义下的反馈镇定问题、基于Nonpathological 控制Lyapunov函数的反馈设计方法、Nonpathological 控制Lyapunov函数的存在性问题构造问题、非线性系统（自治或时变）渐近能控性的条件、微分集值映射的渐近能控性与Lyapunov函数偶的存在性之间的关系、非光滑非线性系统控制Lyapunov函数的构造、基于非光滑控制Lyapunov函数的反馈设计、渐近能控性与πrajectory意义下的能稳不连续反馈问题、相对于πrajectory的能稳不连续反馈控制律的构造性设计方法、以及相关控制问题

中文关键词： 非线性系统;非光滑性;稳定性;反馈镇定;

英文摘要： This Project will focus on the study of stability and stabilization of nonlinear systems with discontinuous right-hand side. The first goal of this project is the development of Filippov-framework for stability analysis and control design of discontinuous systems .The second goal concerns stability and stabilization of caratheodory solutions of discontinuous systems, controller design strategies based on Nonpathological Control Lyapunov function,existence and constructions of Nonpathological Control Lyapunov.The third goal involves the study of asymptotic controllability of nonlinear systems, the study of relations between the asymptotic controllability of diffenential inclusion and the existence of Lyapunov function pair .The fouth goal is the study of discontinuous feedback stabilization of πrajectory of nonlinear systems with asymptotic controllability ,and the design of discontinuous controller which stabilize systems respect to πrajectory

英文关键词： Nonlinear system ; nonsmooth ; stability ; feedback stabilization