The University of Southampton
University of Southampton Institutional Repository

Constrained optimal control theory for differential linear repetitive processes

Dymkov, M., Rogers, E., Dymkou, S. and Galkowski, K. (2008) Constrained optimal control theory for differential linear repetitive processes SIAM Journal on Control and Optimization, 47, (1), pp. 396-420. (doi:10.1137/060668298).

Record type: Article

Abstract

Differential repetitive processes are a distinct class of continuous-discrete two-dimensional linear systems of both systems theoretic and applications interest. These processes complete a series of sweeps termed passes through a set of dynamics defined over a finite duration known as the pass length, and once the end is reached the process is reset to its starting position before the next pass begins. Moreover the output or pass profile produced on each pass explicitly contributes to the dynamics of the next one. Applications areas include iterative learning control and iterative solution algorithms, for classes of dynamic nonlinear optimal control problems based on the maximum principle, and the modeling of numerous industrial processes such as metal rolling, long-wall cutting, etc. In this paper we develop substantial new results on optimal control of these processes in the presence of constraints where the cost function and constraints are motivated by practical application of iterative learning control to robotic manipulators and other electromechanical systems. The analysis is based on generalizing the well-known maximum and $\epsilon$-maximum principles to them

PDF siamdk_oldjud_er.pdf - Other
Download (312kB)

More information

Published date: 2008
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264528
URI: http://eprints.soton.ac.uk/id/eprint/264528
PURE UUID: 8b731e9a-2fcb-4915-a9db-e3f3f4c19f51

Catalogue record

Date deposited: 19 Sep 2007
Last modified: 18 Jul 2017 07:34

Export record

Altmetrics

Contributors

Author: M. Dymkov
Author: E. Rogers
Author: S. Dymkou
Author: K. Galkowski

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×