Using Maple to solve multivariable central analysis and design problems for systems represented by polynomial matrices

A collection of algorithms developed in a computer algebra package (MapleV) using polynomial matrix theory is described. The developed algorithms provide a medium in which polynomial matrix operations are carried out. Most importantly, these polynomial 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.