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.
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Acknowledgments
The work was supported by the Ministry of Education, Youth and Sports of the Czech Republic within the National Sustainability Programme project No. LO1303 (MSMT-7778/2014). This assistance is very gratefully acknowledged.
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Matušů, R., Prego, D.P. (2016). A Matlab Program for Analysis of Robust Stability Under Parametric Uncertainty. In: Silhavy, R., Senkerik, R., Oplatkova, Z.K., Silhavy, P., Prokopova, Z. (eds) Automation Control Theory Perspectives in Intelligent Systems. CSOC 2016. Advances in Intelligent Systems and Computing, vol 466. Springer, Cham. https://doi.org/10.1007/978-3-319-33389-2_19
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DOI: https://doi.org/10.1007/978-3-319-33389-2_19
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