Decentralised model predictive control of time-varying splitting parallel systems

Tran, T; Tuan, HD; Ha, QP; Nguyen, HT

Decentralised model predictive control of time-varying splitting parallel systems

Tran, T Tuan, HD

Ha, QP

Nguyen, HT

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Publication Type:: Chapter
Citation:: Control of Linear Parameter Varying Systems with Applications, 2012, 9781461418337 pp. 217 - 251
Issue Date:: 2012-04-01

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Field	Value	Language
dc.contributor.author	Tran, T	en_US
dc.contributor.author	Tuan, HD https://orcid.org/0000-0003-0292-6061	en_US
dc.contributor.author	Ha, QP https://orcid.org/0000-0003-0978-1758	en_US
dc.contributor.author	Nguyen, HT https://orcid.org/0000-0003-3373-8178	en_US
dc.date.issued	2012-04-01	en_US
dc.identifier.citation	Control of Linear Parameter Varying Systems with Applications, 2012, 9781461418337 pp. 217 - 251	en_US
dc.identifier.isbn	1461418321	en_US
dc.identifier.isbn	9781461418320	en_US
dc.identifier.uri	http://hdl.handle.net/10453/17757
dc.description.abstract	© 2012 Springer Science+Business Media, LLC. All rights reserved. This chapter is devoted to the development of a decentralised model predictive control (MPC) strategy for splitting parallel systems that have time-varying and unknown splitting ratios. The large-scale system in consideration consists of several dynamically-coupled modular subsystems. Each subsystem is regulated by a dedicated multivariable controller employing the open-loop MPC algorithms in conjunction with stability constraints. The connection topology of the large-scale systems includes serial, parallel and recirculated configurations. The solution to splitting parallel systems in this chapter is not only an alternative to the hybrid approach for duty-standby modes, but also a novel approach that accommodates the concurrent operations of splitting parallel systems. The effectiveness of this approach rests on the newly introduced asymptotically positive real constraint (APRC) which prescribes an approaching characteristic towards a positive real property of the system under control. The asymptotic attribute of APRC smooths out all significant wind-up actions in the control trajectories. The APRCs are developed into a one-time-step quadratic constraint on the local control vectors, which plays the role of a stability constraint for the decentralised MPC. The recursive feasibility is assured by characterizing the APRC with dynamic multiplier matrices. Numerical simulations for two typical modular systems in an alumina refinery are provided to illustrate the theoretical results.	en_US
dc.relation.ispartof	Control of Linear Parameter Varying Systems with Applications	en_US
dc.relation.isbasedon	10.1007/978-1-4614-1833-7_9	en_US
dc.title	Decentralised model predictive control of time-varying splitting parallel systems	en_US
dc.type	Chapter
utslib.citation.volume	9781461418337	en_US
utslib.for	0906 Electrical and Electronic Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CBI - Centre for Built Infrastructure
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	closed_access
pubs.publication-status	Published	en_US
pubs.volume	9781461418337	en_US

Abstract:

© 2012 Springer Science+Business Media, LLC. All rights reserved. This chapter is devoted to the development of a decentralised model predictive control (MPC) strategy for splitting parallel systems that have time-varying and unknown splitting ratios. The large-scale system in consideration consists of several dynamically-coupled modular subsystems. Each subsystem is regulated by a dedicated multivariable controller employing the open-loop MPC algorithms in conjunction with stability constraints. The connection topology of the large-scale systems includes serial, parallel and recirculated configurations. The solution to splitting parallel systems in this chapter is not only an alternative to the hybrid approach for duty-standby modes, but also a novel approach that accommodates the concurrent operations of splitting parallel systems. The effectiveness of this approach rests on the newly introduced asymptotically positive real constraint (APRC) which prescribes an approaching characteristic towards a positive real property of the system under control. The asymptotic attribute of APRC smooths out all significant wind-up actions in the control trajectories. The APRCs are developed into a one-time-step quadratic constraint on the local control vectors, which plays the role of a stability constraint for the decentralised MPC. The recursive feasibility is assured by characterizing the APRC with dynamic multiplier matrices. Numerical simulations for two typical modular systems in an alumina refinery are provided to illustrate the theoretical results.

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http://hdl.handle.net/10453/17757