基于I&I的非线性离散系统有限时间镇定与观测器研究

项目名称： 基于I&I的非线性离散系统有限时间镇定与观测器研究

项目编号： No.61304019

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 自动化技术、计算机技术

项目作者： 谢七月

作者单位： 长沙理工大学

项目金额： 24万元

中文摘要： 因传统控制方法通常依赖难以构造的李雅普诺夫函数，且在工程实现中仅限于低维系统，非线性离散系统有限时间控制研究虽具广泛应用前景但成果很少。为此，本项目采用一种无需构造李雅普诺夫函数的几何降维方法-I&I(Immersion & Invariance)进行非线性离散系统有限时间镇定与观测器理论与应用研究，包括：基于I&I的有限时间镇定理论；基于I&I的有限时间观测器理论；基于I&I有限时间观测器的控制设计。预期结果如下：构建I&I有限时间镇定条件，提供求解浸入差分方程及构造目标系统的思路；建立I&I有限时间观测器的存在条件，提出条件构造方案；根据I&I有限时间观测器理论建立混沌有限时间同步控制方法、跟踪控制方法及基于有限时间观测器的镇定方法；将上述成果应用于风力发电系统的有限时间控制设计。从而完善I&I方法的理论体系，建立实用的非线性离散系统有限时间控制方法，为I&I方法的应用提供科学依据。

中文关键词： 有限时间镇定；有限时间观测器；I&I；非线性离散系统；工业过程控制

英文摘要： Traditional control methods usually rely on the Lyapunov function which is difficult to be constructed, and most of them are only effective for low-dimensional systems in engineering realization, so that there are few results about the research on finite time control design for nonlinear discrete system although it has a wide application prospect. To this end, a geometrical order-reducing method named Immersion and Invariance (I&I), which does not require to construct the Lyapunov function, will be adopted to investigate the finite time stabilization and observer theory and applications of nonlinear discrete system in this project. The following issues will be discussed: Theoretical research on I&I finite time stabilization for nonlinear discrete system; Theoretical research on I&I finite time observer; The control design based on the theory of I&I finite time observer. Expected results are as follows: I&I finite time stabilization conditions will be constructed for nonlinear discrete system, and effective methods for solving difference equations as well as ways of constructing target system in these conditions will be presented; The existing conditions of I&I finite time observer will be established, and the methods for conditions establishing will be proposed; The I&I finite time observer design theory will be

英文关键词： Finite Time Stabilization；Finite Time Observer；I&I；Nonlinear Discrete System；Industrial Process Control