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Erschienen in:
2016 | OriginalPaper | Buchkapitel
A Matlab Program for Analysis of Robust Stability Under Parametric Uncertainty
verfasst von : Radek Matušů, Diego Piñeiro Prego
Erschienen in: Automation Control Theory Perspectives in Intelligent Systems
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Abstract
The main aim of this contribution is to present a Matlab program for robust stability analysis of families of polynomials with parametric uncertainty. The created software is applicable for basic uncertainty structures such as single parameter uncertainty (including quasi-polynomials), independent (interval) uncertainty structure, affine linear, multilinear, polynomial or general uncertainty structure. Moreover, the discrete-time interval polynomials can be analyzed as well. From the viewpoint of available tools, the program incorporates the Root Locus, the Bialas Eigenvalue Criterion, the Kharitonov Theorem, the Tsypkin-Polyak Theorem, the Edge Theorem and the Value Set Concept combined with the Zero Exclusion Condition. The use of the toolbox is briefly outlined by means of the simple example.