Singular perturbation analysis for linear systems with vector quantized control

Bonnie S. Heck; Abraham H. Haddad

Singular perturbation analysis for linear systems with vector quantized control

Bonnie S. Heck^*, Abraham H. Haddad

^*Corresponding author for this work

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

1 Scopus citations

Abstract

A singularly perturbed linear system with quantization in the feedback loop is analyzed. It is found that the system has variable structure and can exhibit sliding behavior on the switching surfaces. Because the system is nonsmooth and standard singular perturbation techniques are not applicable, a novel technique is developed for a two-input case to obtain the boundary layer solution and outer solution. The approximation error is discussed. The technique is illustrated on a numerical example.

Original language	English (US)
Title of host publication	Proc 1989 Am Control Conf
Publisher	Publ by IEEE
Pages	2178-2183
Number of pages	6
State	Published - Dec 1 1989
Event	Proceedings of the 1989 American Control Conference - Pittsburgh, PA, USA Duration: Jun 21 1989 → Jun 23 1989

Other

Other	Proceedings of the 1989 American Control Conference
City	Pittsburgh, PA, USA
Period	6/21/89 → 6/23/89

ASJC Scopus subject areas

General Engineering

Cite this

@inproceedings{2c19cfd7369c48adb6dbc7d2a50c8479,

title = "Singular perturbation analysis for linear systems with vector quantized control",

abstract = "A singularly perturbed linear system with quantization in the feedback loop is analyzed. It is found that the system has variable structure and can exhibit sliding behavior on the switching surfaces. Because the system is nonsmooth and standard singular perturbation techniques are not applicable, a novel technique is developed for a two-input case to obtain the boundary layer solution and outer solution. The approximation error is discussed. The technique is illustrated on a numerical example.",

author = "Heck, {Bonnie S.} and Haddad, {Abraham H.}",

year = "1989",

month = dec,

day = "1",

language = "English (US)",

pages = "2178--2183",

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note = "Proceedings of the 1989 American Control Conference ; Conference date: 21-06-1989 Through 23-06-1989",

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T1 - Singular perturbation analysis for linear systems with vector quantized control

AU - Heck, Bonnie S.

AU - Haddad, Abraham H.

PY - 1989/12/1

Y1 - 1989/12/1

N2 - A singularly perturbed linear system with quantization in the feedback loop is analyzed. It is found that the system has variable structure and can exhibit sliding behavior on the switching surfaces. Because the system is nonsmooth and standard singular perturbation techniques are not applicable, a novel technique is developed for a two-input case to obtain the boundary layer solution and outer solution. The approximation error is discussed. The technique is illustrated on a numerical example.

AB - A singularly perturbed linear system with quantization in the feedback loop is analyzed. It is found that the system has variable structure and can exhibit sliding behavior on the switching surfaces. Because the system is nonsmooth and standard singular perturbation techniques are not applicable, a novel technique is developed for a two-input case to obtain the boundary layer solution and outer solution. The approximation error is discussed. The technique is illustrated on a numerical example.

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UR - http://www.scopus.com/inward/citedby.url?scp=0024877871&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0024877871

SP - 2178

EP - 2183

BT - Proc 1989 Am Control Conf

PB - Publ by IEEE

T2 - Proceedings of the 1989 American Control Conference

Y2 - 21 June 1989 through 23 June 1989

ER -

Singular perturbation analysis for linear systems with vector quantized control

Abstract

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ASJC Scopus subject areas

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