H-2/H-infinity Based Sliding Mode Control: A Partial Eigenstructure Assignment Method

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

H-2/H-infinity Based Sliding Mode Control: A Partial Eigenstructure Assignment Method

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

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Publisher:: IEEE
Publication Type:: Conference Proceeding
Citation:: 2016 55th IEEE Conference on Decision and Control, 2016, pp. 5354 - 5359 (6)
Issue Date:: 2016-01-01

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Field	Value	Language
dc.contributor.author	Argha, A	en_US
dc.contributor.author	Su, SW	en_US
dc.contributor.author	Savkin, A	en_US
dc.contributor.author	Celler, B	en_US
dc.date	2016-12-12	en_US
dc.date.issued	2016-01-01	en_US
dc.identifier.citation	2016 55th IEEE Conference on Decision and Control, 2016, pp. 5354 - 5359 (6)	en_US
dc.identifier.isbn	978-1-5090-1837-6	en_US
dc.identifier.issn	0743-1546	en_US
dc.identifier.uri	http://hdl.handle.net/10453/120234
dc.description.abstract	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.publisher	IEEE	en_US
dc.relation.ispartof	2016 55th IEEE Conference on Decision and Control	en_US
dc.relation.ispartof	IEEE Conference on Decision and Control	en_US
dc.relation.isbasedon	10.1109/CDC.2016.7799090	en_US
dc.relation.isreplacedby	10453/121650
dc.relation.isreplacedby	http://hdl.handle.net/10453/121650
dc.rights	© 2016 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.title	H-2/H-infinity Based Sliding Mode Control: A Partial Eigenstructure Assignment Method	en_US
dc.type	Conference Proceeding
utslib.location	Piscataway, USA	en_US
utslib.location.activity	Las Vegas, NV	en_US
utslib.for	0903 Biomedical Engineering	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 Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	closed_access	*
pubs.declined	2017-11-16T16:37:10.662+1100
pubs.consider-herdc	false	en_US
pubs.merge-to	10453/121650
pubs.merge-to	http://hdl.handle.net/10453/121650
pubs.deleted	2017-11-16T16:37:10.662+1100
pubs.finish-date	2016-12-14	en_US
pubs.place-of-publication	Piscataway, USA	en_US
pubs.publication-status	Published	en_US
pubs.start-date	2016-12-12	en_US

Abstract:

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.

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http://hdl.handle.net/10453/120234