Using SOS and Sublevel Set Volume Minimization for Estimation of Forward Reachable Sets
Year: 2019
Type: article
Abstract: 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) L 2 or 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.
Source: IFAC-PapersOnLine
Authors: Morgan Jones, Matthew M. Peet
Institution: Arizona State University
Language: English
Subfield: Computational Theory and Mathematics
Field: Computer Science
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W2913351371