The use of symbolic algebra in control engineering

摘要

Several tools for linear model manipulation, model-order reduction, analysis, and the design/synthesis of control systems, developed using Mathematica, are presented. New control objects have been introduced in the framework of mathematica's Control System Professional package, with several new associated transformations and model format manipulations. A quasi-generalised singular perturbation model-order reduction method has been impelemented, and some interesting observations on appropriate pole assignment algorithms for use with system models containing symbols are reported. Tools for the analysis of systems with parametric uncertainty, and some recent results on the systematic design of PID controllers are considered. Copyright ~direct 2000 IFAC