Accumulative Quadratic Constraint

Anthony Tri Tran, C; Ha, Q

Accumulative Quadratic Constraint

Anthony Tri Tran, C Ha, Q

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Publication Type:: Chapter
Citation:: Studies in Systems, Decision and Control, 2018, 148 pp. 151 - 178
Issue Date:: 2018-01-01

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Field	Value	Language
dc.contributor.author	Anthony Tri Tran, C	en_US
dc.contributor.author	Ha, Q https://orcid.org/0000-0003-0978-1758	en_US
dc.date.accessioned	2019-03-12T05:49:45Z
dc.date.available	2019-03-12T05:49:45Z
dc.date.issued	2018-01-01	en_US
dc.identifier.citation	Studies in Systems, Decision and Control, 2018, 148 pp. 151 - 178	en_US
dc.identifier.uri	http://hdl.handle.net/10453/131241
dc.description.abstract	© 2018, Springer Nature Singapore Pte Ltd. This chapter addresses a decentralised model predictive control (DeMPC) scheme for networks of linear systems that suffer from a coupling delay element. The accumulative quadratic supply rates are considered in this chapter for dealing with the delay in the interactive inputs of neighbouring subsystems. The stabilisability conditions are developed in conjunction with the delay robustly dissipative criteria, and in association with the newly introduced ‘asymptotically accumulative quadratic constraint’ (AAQC) and the ‘positively accumulative quadratic constraint’ (PAQC). In this chapter, the storage function of a Lyapunov–Krasovskii functional form is used in the dissipation inequality. This storage function may initially increase even when there are not any disturbances, then starts converging to a neighbourhood of the origin as a result of the employment of the AAQC-based or PAQC-based attractivity constraints in decentralised MPC. With the accumulative supply rates, the monotonically decreasing property of a single-time-step supply rate can be relaxed. The AAQC and PAQC are, thus, less conservative than the APRC and QDC in previous chapters and well suited to the interconnected systems having a coupling delay element in this chapter.	en_US
dc.relation.ispartof	Studies in Systems, Decision and Control	en_US
dc.relation.isbasedon	10.1007/978-981-10-8409-6_6	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	Accumulative Quadratic Constraint	en_US
dc.type	Chapter
utslib.citation.volume	148	en_US
utslib.for	0801 Artificial Intelligence and Image Processing	en_US
utslib.for	0913 Mechanical 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
utslib.copyright.status	closed_access	*
pubs.declined	2019-03-12T16:49:45.663+1100
pubs.publication-status	Published	en_US
pubs.volume	148	en_US

Abstract:

© 2018, Springer Nature Singapore Pte Ltd. This chapter addresses a decentralised model predictive control (DeMPC) scheme for networks of linear systems that suffer from a coupling delay element. The accumulative quadratic supply rates are considered in this chapter for dealing with the delay in the interactive inputs of neighbouring subsystems. The stabilisability conditions are developed in conjunction with the delay robustly dissipative criteria, and in association with the newly introduced ‘asymptotically accumulative quadratic constraint’ (AAQC) and the ‘positively accumulative quadratic constraint’ (PAQC). In this chapter, the storage function of a Lyapunov–Krasovskii functional form is used in the dissipation inequality. This storage function may initially increase even when there are not any disturbances, then starts converging to a neighbourhood of the origin as a result of the employment of the AAQC-based or PAQC-based attractivity constraints in decentralised MPC. With the accumulative supply rates, the monotonically decreasing property of a single-time-step supply rate can be relaxed. The AAQC and PAQC are, thus, less conservative than the APRC and QDC in previous chapters and well suited to the interconnected systems having a coupling delay element in this chapter.

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http://hdl.handle.net/10453/131241