Realization Method Of Multidimensional System And Discussion Of Transformation Between Roesser Model And Fornasini-Marchesini Ⅱ Model

With the development of science and technology,the control objects of the system become more and more complicated,and new requirements are put forward for the analysis and research of multi-dimensional systems.Because multidimensional system model can describe the real system environment from multiple angles and directions,multidimensional system plays an important role in practical application.In order to carry out modeling and analysis of real radar system,Roesser state space model is often used for modeling and analysis.However,since the Fornasini-Marchesini Ⅱ state space model can achieve lower order system implementation,it is necessary to transform the model during system analysis to obtain a better system implementation matrix.The transformation of this model makes it necessary to analyze the system without modeling twice,which facilitates the comparative analysis of different state space models of the system.The low-order realization of multi-dimensional radar system and the model conversion efficiency directly affect the accuracy and real-time performance of radar system analysis.Therefore,it is of great theoretical significance and practical value to simplify the model conversion process and improve the model conversion efficiency.In this paper,a new method for solving the state space model system of FornasiniMarchesini Ⅱ is proposed.Then,based on the block diagram theory and multidimensional system model,a new method based on the block diagram theory is proposed in this paper to convert the Roesser state space model into the Fornasini-Marchesini Ⅱ state space model,which eliminates the difference operation process of the state equation in the model transformation and improves the conversion efficiency.This method was further popularized and applied to the multi-input and multi-output vehicle-mounted radar system described by the Roesser state-space model.The system implementation of the Fornasini-Marchesini Ⅱ state-space model was obtained through model transformation,and the accuracy of the model was verified by simulation.