Computer-aided robustness analysis for characteristic polynomialswith polynomial parameter dependence

摘要

A computer program for robustness analysis by the parameter spacenmethod was developed. The use specifies the coefficient functions of thencharacteristic polynomial (up to polynomial functions), aided by thencomputer in interactive specification of a region Γ in theneigenvalue plane where all poles must be located. This region may bencomposed as the intersection or union of basic elements stored in thencomputer. The user specifies the intervals of uncertainty for thenparameters, where two may be left open for maximization. The programnautomatically generates the mapping equations and displays projectionsnof stability boundaries into a plane of two parameters. The projectednuncertainty box is a rectangle in this plane that must be avoided by allnprojected stability boundaries