RESEARCH ON DEVELOPMENT OF CAD SYSTEM FOR ROBUST CONTROL SYSTEMS BY USING POLYGON INTERVAL ARITHMETIC

点击翻译按钮获取中文摘要

Results obtained by this project are summerlized as follows :1) Definition and Implementation of Polygon Interval Arithmetic.We proposed two kinds of the polygon interval arithmetic and implemented both of them. One is the arithmetic defined on the sets of convex polygons (we call this CPIA), and the other is that defined on (not necessarily convex) polygons (we refer this NPIA). Operations are the addition, the multiplication, and the inversion of polygons. In the implementation of them, we used recent results on computational geometry.2) Computation of Gain MarginWe proposed four method using PIA,which are improvement of the method proposed by Gaston, and one method using NPIA.The latter method is superior to the former when a totally decomposable expression of transfer functions.3) Robust Root Loci Method.In the practical points of view, we proposed a robust root loci method which is able to assign the regions of the representative roots, dipoles, and other roots.4) Design of Robust PID Controllers.We developed a CAD system for the design of PID controller which satisfies several robust performances.5) Development of CAD System for Robust 2 Degree of Freedom Systems.We developed CAD system for robust 2 degree of freedom systems which has functions described in 3) and 4), and classical frequency response method.