Polynomial matrices for the design of multivariable control systems using symbolic computation

Abstract

This paper describes a collection of algorithms developed in a computer algebra package (MapleV) using polynomial matrix theory. The developed algorithms provide a medium in which polynomial matrix operations are carried out. Most importantly, these polynomid matrix procedures, enable the design and analysis of multivariable control systems using the algebraic or polynomial equation approach. This algebraic design would have been extremely difficult to carry out in a strict numeric computing environment. The use of MapleV has provided symbolic results quickly and efficiently, with a tremendous gain in time and with minimal effort.