非线性切换控制系统输入状态稳定性理论及其应用

项目名称： 非线性切换控制系统输入状态稳定性理论及其应用

项目编号： No.61273123

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 自动化技术、计算机技术

项目作者： 宗广灯

作者单位： 曲阜师范大学

项目金额： 80万元

中文摘要： 研究内容：本项目计划建立一套相对完整的非线性切换控制系统输入状态稳定性的理论，给出非线性切换系统的小增益定理和控制器设计算法，为复杂非线性切换系统的稳定性分析和控制器设计提供有效的研究思路。主要研究内容包括：针对一般的非线性切换系统，引入合理的输入状态稳定性概念，建立更完善的Lyapunov稳定性理论；应用建立的输入状态稳定性理论探讨非线性切换系统的控制器设计算法；研究非线性时滞切换系统的输入状态稳定性，进而考虑复杂非线性时滞切换系统的控制器设计；将带有切换拓扑结构的多智能体系统建模为非线性切换控制系统，然后基于得到的输入状态稳定性理论，设计协同控制协议，并进行仿真验证。 研究意义：由于非线性切换系统在机械及航空航天等领域中有着广泛的应用背景，同时，非线性切换系统分析和控制的理论极为复杂，有关输入状态稳定性的研究尚处于初步阶段。因此，本课题的研究具有重要的理论意义和应用价值。

中文关键词： 切换系统；切换律；输入状态稳定性；异步切换；非线性控制系统

英文摘要： Contents of the research: This project aims to develop a relatively complete input-to-state theory for nonlinear switched control systems and propose the corresponding small-gain theorem and controller design algorithm. In this way, an efficient research route will be provided for the stability analysis and controller design for complicated nonlinear switched systems. It mainly includes the following parts: introducing more reasonable input-to-state concepts for general nonlinear switched systems and establishing systematic Lyapunov stability theory; applying the input-to-state theory to design controller; studying the input-to-state theory for nonlinear switched time-delay systems and considering the problems of controller design; modelling the multi-agent systems with switching topology as nonlinear switched control systems and designing cooperative control protocol using the obtained input-to-state theory and verifying the corresponding algorithms via simulation. Significance of the research: The present study is of great importance in theory and practice. On the one hand, the nonlinear switched systems have broad applications in mechanical field, aerospace and other areas. On the other hand, the theory of the analysis and control for nonlinear switched systems is remarkably complex, and the study on the inp

英文关键词： Switched systems；switching law；Input-to-state stability；asynchronous switching；nonlinear control systems