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# 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), 396-420.

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

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siamdk_oldjud_er.pdf - Other

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
ORCID for E. Rogers: orcid.org/0000-0003-0179-9398

## Catalogue record

Date deposited: 19 Sep 2007

## Contributors

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