Process Control

On-Line Neighbouring-Extremal Controller Design for Setpoint-Transition in Presence of Uncertainty

M. Podmajerský, M. Fikar
Slovak University of Technology in Bratislava

Abstract

In this paper we present an approach suitable for optimal constrained control of processes subject to uncertainties. The controller follows from a nominal solution of dynamic optimisation of a theoretical model which needs not to be very accurate. The nominal optimal control trajectory is identified as a sequence of arcs and boundaries. Real output measurements are used to cancel model mismatch and to augment nominal inputs on-line using state-feedback law. Neighbouringextremal controller is designed to follow the nominal output trajectory in interior arcs using necessary conditions for optimality (NCO). Methodology will be implemented for setpoint-transition of van de Vusse reactor type. Finally, the performance of neighbouring-extremal controller will be benchmarked using several perturbation scenarios.

Full paper

048.pdf

Session

Process Optimisation (Lecture)

Reference

Podmajerský, M., Fikar, M.: On-Line Neighbouring-Extremal Controller Design for Setpoint-Transition in Presence of Uncertainty. Editors: Fikar, M., Kvasnica, M., In Proceedings of the 17th International Conference on Process Control ’09, Štrbské Pleso, Slovakia, 107–113, 2009

BibTeX
@inProceedings{pc09-048,
author = {Podmajerský, M. and Fikar, M.},
title = {On-Line Neighbouring-Extremal Controller Design for Setpoint-Transition in Presence of Uncertainty},
booktitle = {Proceedings of the 17th International Conference on Process Control '09},
year = {2009},
pages = {107-113},
editor = {Fikar, M. and Kvasnica, M.},
address = {Štrbské Pleso, Slovakia},
publisher = {Slovak University of Technology in Bratislava},
url = {http://www.kirp.chtf.stuba.sk/pc09/data/papers/048.pdf}}
© 2009 Institute of Information Engineering, Automation and Mathematics, FCFT STU in Bratislava. All rights reserved.