切换非线性系统的有限时间控制及其在忆阻系统中的应用研究

项目名称： 切换非线性系统的有限时间控制及其在忆阻系统中的应用研究

项目编号： No.61273120

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： 向峥嵘

作者单位： 南京理工大学

项目金额： 84万元

中文摘要： 切换系统的稳定性分析与控制设计是一个重要而又困难的课题。现有的研究结果常常考虑的是切换系统在Lyapunov意义下的稳定性行为，然而在实际应用中，多数系统要求闭环状态轨线能在有限时间内有界或收敛。本项目拟采用Lyapunov方法及切换系统理论研究切换非线性系统的有限时间稳定性、控制及其在非线性忆阻电路系统中的应用。研究内容包括：切换非线性系统的有限时间稳定性分析，包括有限时间稳定、有限时间收敛稳定等；切换非线性控制系统的有限时间镇定设计；切换非线性控制系统的有限时间跟踪、干扰抑制等控制问题的设计；切换非线性系统在异步切换下的有限时间镇定设计；具有切换特性的忆阻电路系统的动力学建模与控制设计。该项目的成功实施将丰富切换系统的理论研究结果，同时也对切换系统理论应用于实际工程系统产生积极影响。

中文关键词： 切换非线性系统；异步切换；有限时间；稳定性；忆阻系统

英文摘要： The problems of stability analysis and control synthesis are very important and difficult for switched systems. Existing research results are usually concerned with the stability of switched systems in the infinite time, however, in actual engineering applications, most systems require that the state trajectory of closed-loop systems is finite-time convergent or bounded, that is finite-time stability. This project intends to investigate the finite-time stability and controller design of switched nonlinear systems by using the Lyapunov method and switched system theory, along with its application in memristor-based nonlinear circuit systems. The content includes: the finite-time stability analysis of switched nonlinear systems; the finite-time stabilization controller design for switched nonlinear systems; the finite-time tracking control, the disturbance rejection and such control issues of switched nonlinear systems; the finite-time stabilization controller design for switched nonlinear systems under asynchronous switching; dynamic modeling and finite-time control design of memristor-based circuit systems with switching characteristics n. The successful implementation of the proposed project will enrich the theoretical results of switched systems, and it will have a positive impact on the application of switche

英文关键词： switched nonlinear systems；asynchronous switching；finite-time；stability；memristive systems