基于F-M状态空间模型的多维N阶系统实现问题的研究

项目名称： 基于F-M状态空间模型的多维N阶系统实现问题的研究

项目编号： No.61304129

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： 程骅

作者单位： 武汉科技大学

项目金额： 25万元

中文摘要： 在国内外多维系统控制理论研究领域中，多维N 阶系统的实现问题是热点问题，也是其关键问题。然而，有关多维系统实现问题的研究目前大都停滞于单个独立变量的一维N阶系统。考虑到当前控制系统多由对真实系统的合理简化、抽象而来，忽略了诸多影响因素。当综合考虑多种实际因素的影响，多维系统的实现问题将变得极其复杂。为进一步实施对真实系统的精确再现,本项目拟开展以时间、空间、温度等多个独立变量为基础的多维N 阶系统的研究，以期尽可能的还原多种因素对真实系统的实际影响。为此，申请者拟以预解不变反向移位空间基理论为基础，提出基于Fornasini-Marchesini模型的多维N阶系统新的实现方法，以求显著降低多维系统实现阶次，有效简化计算复杂程度，并解决系统实现耗时冗长等问题。该研究可进一步推动多维系统在空间飞行器控制、地球物理探测、X 射线断层摄影以及农业灌溉系统等领域的广泛应用，具有重大的理论和实际意义。

中文关键词： F-M 状态空间模型；多维系统；状态空间实现；；

英文摘要： In the field of multi-dimensional system control theory at home and abroad,the realization problem of multi-dimensional N-order system is not only a hot research focus, but also a critical problem in this field. However, at present, the research of realization problem on multi-dimensional N-order system is mostly stagnated on the one-dimensional N-order system with only a single independent variable. In view of the fact that the feasible control system is derived from the real system by reasonable simplification and abstract, and ignores many influencing factors. When a lot of actual factors are taken into account,the realization problem of multi-dimensional N-order system will become extremely complex. To further carry out the accurate simulation for real systems,this project is aimed to conduct the research of realization problem on multi-dimensional N-order systems which contain more than one independent variables such as time, space, temperature, etc., so as to restore the actual impact of a variety of factors as much as possible.In order to greatly reduce the realization order and effectively simplify the computational complexity, and solve the lengthiness of time-consuming, etc., the applicant is going to propose a novel realization approach to the multi-dimensional N-order system based on Fornasini-Marche

英文关键词： Fornasini-Marchesini model；Multidimensional Systems；State Space Realization；；