THEORITICAL SYSTEM OF MULTIDIMENSIONAL SYSTEM AND ITS APPLICATION

点击翻译按钮获取中文摘要

The project deals with theoretical system of multidimensional system and its application to practical systems and has obtained the following results.(1) Stability and stabilization : The conventional stability theory and criterion depends on the system dimension. Here new theory and general criterion, independent on dimension, is studied based on Grobner Bases.(2) Practical nD system : The practical nD system is defined, as the domain of one independent variable of nD system is finite. The synthesis and analysis method of practical nD system, especially stabilization, stabilizing feedback compensatory and optimal control are investigated.(3) 2D model-following servo system : Two formulations of 2D model-following servo problem have been given. One is based on 2 variable polynomial ring. The other one is state variable formulation.(4) Application : The above results are applied to desinging the controller of non-unit memory linear multipass processes. Finaly the new CAD system with MAPLE, for multidimension system is developed.