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DISCRETE APPROXIMATION AND CONTROL OF HIGH-ORDER NONLINEAR CONTINUOUS SYSTEMS
Thomas Moor* Jörg Raisch† Alexander Itigin‡
* Research School of Information Sciences and Engineering,
Australian National University, Canberra, thomas.moor@anu.edu.au
† Lehrstuhl für Systemtheorie technischer Prozesse, Otto-von-Guericke Universität,
and Max-Planck-Institut für Dynamik komplexer technischer Systeme,
Magdeburg, Germany, raisch@mpi-magdeburg.mpg.de
‡ Institut für Systemdynamik und Regelungstechnik,
Universität Stuttgart, Germany, itigin@isr.uni-stuttgart.de
Approximation-based approaches to hybrid control systems synthesis have been mostly limited to problems with low-order linear continuous dynamics. In this contribution, results from the theory of monotone dynamical systems are used to efficiently compute discrete approximations 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 42nd order.
Keywords: hybrid systems, nonlinear systems, monotone systems, discrete event systems, supervisory control
Session slot T-Th-M06: Approximations, abstractions and control synthesis for hybrid systems/Area code 5c : Computer Aided Control Systems Design
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