带有分布参数的非线性切换系统镇定与容错控制及其航天应用研究

This project is based on reconfiguration control problem of a class of multi-body spacecraft, researches the stabilization and fault tolerant control methods for a class of switched nonlinear systems with distributed parameters, whose modes are represented by coupled ordinary differential equation (ODE) and a kind of partial differential equation named Euler-Bernoulli beam equation (EBBE). The project aims at investigating small gain conditions and control design methods for interconnected nonlinear ODE-EBBE system, and combines them with the properties of switched systems to establish a novel stabilization and fault tolerant control architecture. A class of multi-body spacecraft with various compensation configurations and switching rules are deeply researched. Based on the proposed switched system approaches, controllers are designed respectively for rigid and flexible modules, and then the stability of the whole switching process among configurations are researched. A new stabilization and fault tolerant control framework as well as its digital simulation platform are provided. This makes the project have the important academic value and practical meaning.

本项目以多体航天器重构控制为背景，研究一类带有空间分布参数的非线性切换系统的镇定与容错控制问题。该类切换系统各模态动态方程都由非线性常微分方程(ODE)和欧拉-伯努利梁方程(EBBE)这种偏微分方程耦合而成。着力于研究ODE-EBBE互联系统的小增益条件和控制器设计，并将其和切换系统本身的特点有机结合，提出一套新颖的镇定和容错控制方案。 深入研究一类多体航天器的各种组成构型以及它们之间的变化规则，并运用所提出的切换系统方法，分别设计刚性模块和挠性模块的控制器，并研究整个构型切换过程的稳定性，进而建立一套该类航天器的容错控制框架，并研制数字仿真平台，使得研究具有重要的学术价值和实际意义。

本项目以多体航天器重构控制为背景，研究了一类带有空间分布参数的非线性切换系统的镇定与容错控制问题。该类切换系统各模态动态方程都由非线性常微分方程(ODE)和欧拉-伯努利梁方程(EBBE)这种偏微分方程耦合而成。研究了ODE-EBBE互联系统的小增益条件和控制器设计，并将其和切换系统本身的特点有机结合，提出了一套新颖的镇定和容错控制方案。 深入研究了一类多体航天器的各种组成构型以及它们之间的变化规则，并运用所提出的切换系统方法，分别设计刚性模块和挠性模块的控制器，并研究整个构型切换过程的稳定性，进而建立了一套该类航天器的容错控制框架，并研制了数字仿真平台，使得研究具有重要的学术价值和实际意义。在该基金的资助下，我们发表了SCI检索论文22篇,国内重点核心期刊论文3篇，项目负责人获得了国家优秀青年科学基金资助，入选了中组部万人计划“青年拔尖人才”。