Abstract
This chapter addresses robustness analysis of polytopic systems affected by time-varying uncertainties with known bounds on their variation rate. The analysis is conducted by introducing the class of HPD-HLFs, i.e. Lyapunov functions that are forms in both the state and the uncertain parameters, which includes the classes of HPLFs and HPD-QLFs as special cases. It is shown that the construction of HPD-HLFs for assessing robust stability as well as computing robust stability margins can be tackled via convex optimizations constrained by LMIs through the use of the SMR of matrix forms.
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© 2009 Springer London
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Chesi, G., Garulli, A., Tesi, A., Vicino, A. (2009). Robustness with Bounded-rate Time-varying Uncertainty. 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_5
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DOI: https://doi.org/10.1007/978-1-84882-781-3_5
Publisher Name: Springer, London
Print ISBN: 978-1-84882-780-6
Online ISBN: 978-1-84882-781-3
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