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Towards less conservative conditions for ILC design in the two-dimensional (2D) systems setting

Towards less conservative conditions for ILC design in the two-dimensional (2D) systems setting
Towards less conservative conditions for ILC design in the two-dimensional (2D) systems setting

This paper develops novel procedures for designing of iterative learning control (ILC) schemes for both continuous-time and discrete-time systems. These procedures are developed by transforming the ILC design problem into stability problem for a two-dimensional (2D) system described by the Roesser model. Moreover, since the results are based on 2D system stability conditions that can reach necessity then the resulting design conditions are possibly characterized by a very low level of conservativeness. All conditions are derived in terms of linear matrix inequalities (LMIs), and they directly give formulas for computing the required ILC controllers. A numerical example to demonstrate the new results is also given.

5282-5287
IEEE
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Bachelier, Olivier
486fbc42-5417-4ad0-9c42-a39a5e33f987
Yeganefar, Nima
eaa0f372-2f1e-45e3-bd03-67e359c55f31
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Bachelier, Olivier
486fbc42-5417-4ad0-9c42-a39a5e33f987
Yeganefar, Nima
eaa0f372-2f1e-45e3-bd03-67e359c55f31
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72

Paszke, Wojciech, Bachelier, Olivier, Yeganefar, Nima and Rogers, Eric (2019) Towards less conservative conditions for ILC design in the two-dimensional (2D) systems setting. In 2018 IEEE Conference on Decision and Control, CDC 2018. vol. 2018-December, IEEE. pp. 5282-5287 . (doi:10.1109/CDC.2018.8619100).

Record type: Conference or Workshop Item (Paper)

Abstract

This paper develops novel procedures for designing of iterative learning control (ILC) schemes for both continuous-time and discrete-time systems. These procedures are developed by transforming the ILC design problem into stability problem for a two-dimensional (2D) system described by the Roesser model. Moreover, since the results are based on 2D system stability conditions that can reach necessity then the resulting design conditions are possibly characterized by a very low level of conservativeness. All conditions are derived in terms of linear matrix inequalities (LMIs), and they directly give formulas for computing the required ILC controllers. A numerical example to demonstrate the new results is also given.

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More information

Published date: 18 January 2019
Venue - Dates: 57th IEEE Conference on Decision and Control, CDC 2018, United States, 2018-12-17 - 2018-12-19

Identifiers

Local EPrints ID: 430058
URI: http://eprints.soton.ac.uk/id/eprint/430058
PURE UUID: b8b2f3fe-3794-436d-8a9c-9aebfd9235f0
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 11 Apr 2019 16:30
Last modified: 27 Jan 2020 13:34

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Contributors

Author: Wojciech Paszke
Author: Olivier Bachelier
Author: Nima Yeganefar
Author: Eric Rogers ORCID iD

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