切换离散非线性系统的耗散性理论研究

项目名称： 切换离散非线性系统的耗散性理论研究

项目编号： No.61503117

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 自动化技术、计算机技术

项目作者： 李娇

作者单位： 河北北方学院

项目金额： 21万元

中文摘要： 本项目研究切换离散非线性系统的耗散性问题。研究内容包括：基于弱多存储函数和联合多供给率，描述切换离散系统的耗散性理论；探求有能量消耗的切换信号对于系统能量变化的作用；刻画切换发生时各子系统能量和切换信号能量变化规律以及他们之间能量转化规律；研究基于耗散性理论和离散系统自身特点的切换离散系统的控制器和切换规则的设计；探讨基于耗散性设计的切换信号的鲁棒性；基于耗散性的其他问题的研究。. 研究结果将揭示离散变量和离散切换信号的相互耦合作用以及对系统整体动态行为的影响，将为切换离散非线性系统的研究提供一种有效的分析和设计方法，拓展现有的切换离散系统耗散性理论。同时，研究结果还可应用到网络控制等实际系统中。

中文关键词： 切换系统；耗散性；基于耗散性的控制；联合多供给率

英文摘要： This project studies the dissipativity theory of switched discrete nonlinear systems. The study content includes: Describe the dissipativity theory for switched discrete-time systems based on weak multiple storage functions and combine multiple supply rates; Explore the switching signal of energy consumption impact on the role of energy changing for systems; Depict the laws of energy changing for subsystems and switching signal, and the law of exchange for subsystems and switching signal when switching takes place; Study on dual design of controllers and switching laws using the dissipativity theory and the characteristics of discrete systems; Investigate the robustness of the switching signal baesd on the dissipativity; Other problems based on dissipativity.. The results of this project will reveal the interaction between discrete variables and discrete switching signals and their effect on dynamical behaviors of the systems. The results will also provide an effective approach of analysis and design for the study of switched discrete nonlinear systems, and expand the existing dissipativity theories of switched discrete systems. Furthermore, the research results can be applied to practical systems such as networked control systems.

英文关键词： switched systems;dissipativity;dissipativity-based control;combine multiple supply rates