Abstract
This chapter presents further results for robustness analysis of uncertain systems based on forms. It is shown how the problem of computing the euclidean distance from a point to a surface described by a polynomial equation, can be solved via LMI feasibility tests. This problem has numerous applications in systems and control theory. In this respect, we consider the computation of the l2 parametric stability margin of systems affected by time-invariant uncertainty.
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© 2009 Springer London
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Chesi, G., Garulli, A., Tesi, A., Vicino, A. (2009). Distance Problems with Applications to Robust Control. In: Homogeneous Polynomial Forms for Robustness Analysis of Uncertain Systems. Lecture Notes in Control and Information Sciences, vol 390. Springer, London. https://doi.org/10.1007/978-1-84882-781-3_6
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DOI: https://doi.org/10.1007/978-1-84882-781-3_6
Publisher Name: Springer, London
Print ISBN: 978-1-84882-780-6
Online ISBN: 978-1-84882-781-3
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