'<inf>2</inf>/H<inf>∞</inf> based sliding mode control: A partial eigenstructure assignment method

Argha, A; Su, SW; Savkin, A; Celler, B

'<inf>2</inf>/H<inf>∞</inf> based sliding mode control: A partial eigenstructure assignment method

Argha, A

Su, SW

Savkin, A Celler, B

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Publication Type:: Conference Proceeding
Citation:: 2016 IEEE 55th Conference on Decision and Control, CDC 2016, 2016, pp. 5354 - 5359
Issue Date:: 2016-12-27

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Field	Value	Language
dc.contributor.author	Argha, A https://orcid.org/0000-0002-8276-9774	en_US
dc.contributor.author	Su, SW https://orcid.org/0000-0002-5720-8852	en_US
dc.contributor.author	Savkin, A	en_US
dc.contributor.author	Celler, B	en_US
dc.date.issued	2016-12-27	en_US
dc.identifier.citation	2016 IEEE 55th Conference on Decision and Control, CDC 2016, 2016, pp. 5354 - 5359	en_US
dc.identifier.isbn	9781509018376	en_US
dc.identifier.uri	http://hdl.handle.net/10453/121650
dc.description.abstract	© 2016 IEEE. This paper is devoted to the problem of designing a sliding surface for an underlying system, while '2/H∞ performance specifications of the closed-loop system are under control. This scheme is different from a large number of the existing methods in the literature for the sliding surface design, in the sense that it will penalize the required level of control effort to maintain sliding. This novel scheme consists of two stages. First, exploiting a certain partial eigenstructure assignment method, a state feedback gain is selected that ensures precise locations for some of the closed-loop system poles while minimizing the H∞-norm ('2-norm) of a specific closed-loop transfer function and satisfying an '2-norm (H∞-norm) constraint on the same or another closed-loop transfer function. Following this, the second stage derives the sliding surface and thereby the control law associated with the particular state feedback designed in the first stage by using one of an approach developed for this purpose. We present a numerical example to demonstrate the remarkable performance of the proposed scheme.	en_US
dc.relation.ispartof	2016 IEEE 55th Conference on Decision and Control, CDC 2016	en_US
dc.relation.isbasedon	10.1109/CDC.2016.7799090	en_US
dc.title	'<inf>2</inf>/H<inf>∞</inf> based sliding mode control: A partial eigenstructure assignment method	en_US
dc.type	Conference Proceeding
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 Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	open_access
pubs.publication-status	Published	en_US

Abstract:

© 2016 IEEE. This paper is devoted to the problem of designing a sliding surface for an underlying system, while '2/H∞ performance specifications of the closed-loop system are under control. This scheme is different from a large number of the existing methods in the literature for the sliding surface design, in the sense that it will penalize the required level of control effort to maintain sliding. This novel scheme consists of two stages. First, exploiting a certain partial eigenstructure assignment method, a state feedback gain is selected that ensures precise locations for some of the closed-loop system poles while minimizing the H∞-norm ('2-norm) of a specific closed-loop transfer function and satisfying an '2-norm (H∞-norm) constraint on the same or another closed-loop transfer function. Following this, the second stage derives the sliding surface and thereby the control law associated with the particular state feedback designed in the first stage by using one of an approach developed for this purpose. We present a numerical example to demonstrate the remarkable performance of the proposed scheme.

Please use this identifier to cite or link to this item:

http://hdl.handle.net/10453/89358