文章基本信息

标题：Using SOS and Sublevel Set Volume Minimization for Estimation of Forward Reachable Sets
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作者：Morgan Jones ; Matthew M. Peet
期刊名称：IFAC PapersOnLine
印刷版ISSN：2405-8963
出版年度：2019
卷号：52
期号：16
页码：484-489
DOI：10.1016/j.ifacol.2019.12.008
语种：English
出版社：Elsevier
摘要：In this paper we propose a convex Sum-of-Squares optimization problem for finding outer approximations of forward reachable sets for nonlinear uncertain Ordinary Differential Equations (ODE’s) with either (or both)L2or point-wise bounded input disturbances. To make our approximations tight we seek to minimize the volume of our approximation set. Our approach to volume minimization is based on the use of a convex determinant-like objective function. We provide several numerical examples including the Lorenz system and the Van der Pol oscillator.
关键词：KeywordsReachable statesNonlinear analysisConvex optimizationUncertainty