Computer Aided Control System Design Language MATX with Numerical Computation and Symbolic Manipulation

Abstract

This paper describes a high-performance computer aided control system design language MATX which integrates numerical analysis, matrix computation, and symbolic manipulation in an easy way to use. One-variable polynomials, rational-functions, and symbolic matrices comprised of those elements are essential to the study of system theory. We take advantage of this fact and combine numerical computation and one-variable symbolic manipulation facility. Since MATX allows the definition and manipulation of these objects in a natural symbolic fashion, problem solutions are expressed almost exactly as they are written mathematically. Therefor, the user can solve a lot of control system design problems in much shorter time than describing programs in other programming languages. MATX will play an important role in developing and examining new design algorithms in system theory.