The Research On Multi-dimensional Digraphs Theory Based On MIMO Radar

With the development of computer science and integrated circuit technology,the control system is becoming more and more complex,and new challenges are presented to the research of multi-dimensional systems.The multi-dimensional system involves multiple independent variables and can describe the system environment comprehensively and accurately.Therefore,the multi-dimensional system has extremely important significance in practical applications.At present,the research on multi-dimensional systems mostly focuses on the stability analysis and low-dimensional realization of the system.Among the research on system realization problems,most methods can only obtain a possible low-order realization matrix.There are multiple realization of the system.This paper studies all possible methods for solving multi-dimensional systems.Based on the Fornasini-Marchesini ? state space model,we propose a low-order implementation method of Fornasini-Marchesini ? state space model for multi-input multi-output(MIMO)systems.This method is based on the research of digraph structure composition operation and intersection vertex splitting operation.This paper first creates the corresponding subdigraph structure through the characteristic polynomial of the model;then uses the composition operation of the digraph to combine the subdigraphs to obtain the parent digraph and the state matrix of the realization arc;finally,the source and output vertices are used to dominate the common vertices to obtain the complete realization matrix.Different from the standard solution realization matrix method,the digraph solution realization matrix method can obtain a set of low-order realizations,which can obtain a clearer and more intuitive representation of the system,which is conducive to the design and analysis of the system.In this paper,based on the practical application of multiple input and multiple output vehicle radar,the Fornasini-Marchesini ? model is applied to the target tracking prediction of the vehicle radar system.The Fornasini-Marchesini ? model is simplified through the digraph theory,and the data processing of the vehicle radar system ability to reduce the reaction time of the radar system,and the use of simulation to verify the effectiveness and accuracy of the new theoretical method.