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Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains

Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains
Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains
This paper develops a fault-tolerant iterative learning control law for a~class of~linear time-delay differential batch processes with actuator faults using the repetitive process setting. Once the dynamics are expressed in this setting, stability analysis and control law design makes use of the generalized Kalman-Yakubovich-Popov (KYP) lemma in the form of the corresponding linear matrix inequalities (LMIs). In particular, sufficient conditions for the existence of a fault-tolerant control law are developed together with design algorithms for the associated matrices. Under the action of this control law the ILC dynamics have a monotonicity property in terms of an error sequence formed from the difference between the supplied reference trajectory and the outputs produced. An extension to robust control against structured time-varying uncertainties is also developed. Finally, a simulation based case study on the model of a~two-stage chemical reactor with delayed recycle is given to demonstrate the feasibility and effectiveness of the new designs.
0959-1524
Tao, Hongfeng
565ef1a8-eb2c-4139-bdd9-ebd5baf4eebe
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Yang, Huizhong
e0637c46-8e8c-4e1a-998e-3cae4b5b8b43
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef
Tao, Hongfeng
565ef1a8-eb2c-4139-bdd9-ebd5baf4eebe
Paszke, Wojciech
cb0ed465-63b4-4165-8606-fe76dc7f4752
Rogers, Eric
611b1de0-c505-472e-a03f-c5294c63bb72
Yang, Huizhong
e0637c46-8e8c-4e1a-998e-3cae4b5b8b43
Galkowski, Krzysztof
322994ac-7e24-4350-ab72-cc80ac8078ef

Tao, Hongfeng, Paszke, Wojciech, Rogers, Eric, Yang, Huizhong and Galkowski, Krzysztof (2017) Iterative learning fault-tolerant control for differential time-delay batch processes in finite frequency domains. Journal of Process Control. (doi:10.1016/j.jprocont.2016.12.007).

Record type: Article

Abstract

This paper develops a fault-tolerant iterative learning control law for a~class of~linear time-delay differential batch processes with actuator faults using the repetitive process setting. Once the dynamics are expressed in this setting, stability analysis and control law design makes use of the generalized Kalman-Yakubovich-Popov (KYP) lemma in the form of the corresponding linear matrix inequalities (LMIs). In particular, sufficient conditions for the existence of a fault-tolerant control law are developed together with design algorithms for the associated matrices. Under the action of this control law the ILC dynamics have a monotonicity property in terms of an error sequence formed from the difference between the supplied reference trajectory and the outputs produced. An extension to robust control against structured time-varying uncertainties is also developed. Finally, a simulation based case study on the model of a~two-stage chemical reactor with delayed recycle is given to demonstrate the feasibility and effectiveness of the new designs.

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FiniteFrequency_JCP_new2.pdf - Accepted Manuscript
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More information

Accepted/In Press date: 17 December 2016
e-pub ahead of print date: 20 February 2017
Organisations: Vision, Learning and Control

Identifiers

Local EPrints ID: 404192
URI: http://eprints.soton.ac.uk/id/eprint/404192
ISSN: 0959-1524
PURE UUID: 99e088de-cc61-4b40-93c9-c61a4825daf2
ORCID for Eric Rogers: ORCID iD orcid.org/0000-0003-0179-9398

Catalogue record

Date deposited: 22 Dec 2016 21:33
Last modified: 07 Oct 2020 05:48

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