广义混杂系统的降阶分析与应用

With the rapid development of Industry 4.0 and Cyber Physical Systems (CPS), high-order complex hybrid mathematical modeling of physical systems and processes arises frequently in many areas of modern industrial engineering and advanced manufacturing. It generates great difficulties to the analysis and synthesis of the complex control systems concerned. Thus, how to simplify these high-order hybrid models with respect to certain system performance index is the key issue of multi-mode reduction analysis. In time-frequency-space domain and frequency-space domain, this project provides the solution of multi-mode reduction analysis and its application to the reduced-order robust synthesis for hybrid dynamical singular systems. Additionally, the obtained theoretical results of this project attempt to be implemented in modeling and analysis of marine vehicles navigation control system. The purpose of this project is to develop a more comprehensive theory of reduction analysis for hybrid dynamical singular systems in time-frequency-space domain and frequency-space domain, and to provide practical solutions to model approximation and integrated reduced-order synthesis for engineers’ references.

随着工业4.0时代的到来和信息物理社会的日趋成形，现代的工业工程和先进制造中所面对的系统规模通常很大，所得到数学模型往往是高阶混杂系统，这对控制系统的分析和设计带来了极大的困难。因此，如何在满足系统分析给定指标下建立一个多模态低阶模型去逼近高阶混杂系统模型，是多模态降阶分析的关键问题。本项目针对广义混杂动态系统，在时域空间和频域空间研究其降阶分析的方法和降阶综合鲁棒问题中的应用。此外，有关研究成果将在海洋运载器导航控制系统的建模与分析中进行尝试性应用。本项目可望在时域空间和频域空间建立一套较为广义混杂动态完整的降阶分析理论，为工程技术人员提供实用的模型逼近和降阶综合方法。

随着工业4.0时代的到来和信息物理社会的日趋成形，现代的工业工程和先进制造中所面对的系统规模通常很大，所得到数学模型往往是高阶混杂系统，这对控制系统的分析和设计带来了极大的困难。因此，如何在满足系统分析给定指标下建立一个多模态低阶模型去逼近高阶混杂系统模型，是多模态降阶分析的关键问题。本项目针对广义混杂动态系统，在时域空间和频域空间研究其降阶分析的方法和降阶综合鲁棒问题中的应用。此外，有关研究成果将在海洋运载器导航控制系统的建模与分析中进行尝试性应用。本项目可望在时域空间和频域空间建立一套较为广义混杂动态完整的降阶分析理论，为工程技术人员提供实用的模型逼近和降阶综合方法。