文章基本信息

标题：Stability of uncertain piecewise-affine systems with parametric dependence
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作者：Paolo Massioni ; Laurent Bako ; Gérard Scorletti 等
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2020
卷号：53
期号：2
页码：1998-2003
DOI：10.1016/j.ifacol.2020.12.2508
语种：English
出版社：Elsevier
摘要：AbstractThis paper proposes a numerical approach to the stability analysis for a class of piecewise-affine systems with (possibly time-varying) parameter-dependent cells and dynamics. This class of model aims at allowing a better modelling of time-varying or parameter-varying nonlinearities of physical phenomena such as dry friction. We form the stability certification problem as the one of finding a Lyapunov function that is parameterised as a polynomial function of the variable parameter. The application of the well-known Lyapunov stability theorem together with the use of the generalised S-procedure reduces the problem to checking whether a certain set of matrices has the sum-of-squares property. The latter can be solved using well-documented numerical solvers, and we provide two examples of successful applications at the end of the paper.
关键词：KeywordsHybrid systemsPiecewise-affine systemsLinear matrix inequalities