Convex Enclosures for Constrained Reachability Tubes

Authors

M.E. Villanueva, X. Feng, R. Paulen, B. Chachuat, B. Houska

Reference

In Proceedings of the
12th IFAC Symposium on Dynamics and Control of Process Systems,
Florianopolis, Brazil, April, 2019.
IFAC-PapersOnLine, Volume 52(1), pages 118–123, 2019.

Abstract

This paper is concerned with computing enclosures for the constrained reachable set of uncertain nonlinear dynamic systems. Our main contribution is a nontrivial extension of the generalized differential inequality, proposed in Villanueva et al. (2015), for the case that an a priori enclosure, of the reachable set is available. A practical implementation is worked out in detail for the case of ellipsoidal enclosures. The applicability of the proposed method is illustrated using a Lotka-Volterra system, for which a nonlinear solution invariant is known.

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Bibtex

@INPROCEEDINGS{Villanueva2019,
author = {Villanueva, M.E. and Feng, X. and Paulen, R. and Chachuat, B. and Houska, B.},
title = {Convex enclosures for constrained reachability tubes},
booktitle = {In Proceedings of the 12th IFAC Symposium on Dynamics and Control of Process Systems, Florianopolis, Brazil},
year = {2019},
pages = {118–123},
}