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) L2 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.
Original language | English (US) |
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Pages (from-to) | 484-489 |
Number of pages | 6 |
Journal | IFAC-PapersOnLine |
Volume | 52 |
Issue number | 16 |
DOIs | |
State | Published - Sep 2019 |
Event | 11th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2019 - Vienna, Austria Duration: Sep 4 2019 → Sep 6 2019 |
Keywords
- Convex optimization
- Nonlinear analysis
- Reachable states
- Uncertainty
ASJC Scopus subject areas
- Control and Systems Engineering