Abstract
Abstraction based approaches to hybrid control systems synthesis have so far been mostly limited to problems with low-order linear continuous dynamics. In this paper, results from the theory of monotone dynamical systems are used to efficiently compute discrete abstractions for a class of nonlinear models. Furthermore, a situation is investigated where the high-dimensional plant state converges to a low-dimensional manifold; in the proposed approach the computational effort is governed by the dimension of the low-order manifold without neglecting the high-order dynamics. Results are applied to synthesize a discrete event controller for the automatic start-up of a nonlinear distillation column model of order 42.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Moor, T., Raisch, J. (2002). Abstraction Based Supervisory Controller Synthesis for High Order Monotone Continuous Systems. In: Engell, S., Frehse, G., Schnieder, E. (eds) Modelling, Analysis, and Design of Hybrid Systems. Lecture Notes in Control and Information Sciences, vol 279. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45426-8_14
Download citation
DOI: https://doi.org/10.1007/3-540-45426-8_14
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-43812-0
Online ISBN: 978-3-540-45426-7
eBook Packages: Springer Book Archive