Computer-aided robustness analysis for characteristic polynomials with polynomial parameter dependence

摘要

A computer program for robustness analysis by the parameter space method was developed. The use specifies the coefficient functions of the characteristic polynomial (up to polynomial functions), aided by the computer in interactive specification of a region Gamma in the eigenvalue plane where all poles must be located. This region may be composed as the intersection or union of basic elements stored in the computer. The user specifies the intervals of uncertainty for the parameters, where two may be left open for maximization. The program automatically generates the mapping equations and displays projections of stability boundaries into a plane of two parameters. The projected uncertainty box is a rectangle in this plane that must be avoided by all projected stability boundaries.