Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size

J. Bentsman; J. Fakhfakh; Rev B. Lehman

doi:10.1016/0167-6911(89)90059-5

Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size

J. Bentsman
, J. Fakhfakh
, Rev B. Lehman

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this paper is to investigate the effectiveness of vibrational stabilization for a class of linear systems with time delay. The total vibrational stabilizability conditions are formulated. The robustness of an oscillatory stabilizing effect with respect to the magnitudes of the delays and the parameters of oscillations is also investigated on the basis of numerical examples.

Original language	English (US)
Pages (from-to)	267-272
Number of pages	6
Journal	Systems and Control Letters
Volume	12
Issue number	3
DOIs	https://doi.org/10.1016/0167-6911(89)90059-5
State	Published - Apr 1989

Keywords

Vibrational stabilizability
linear systems
periodic control
robustness
time delays

ASJC Scopus subject areas

Control and Systems Engineering
General Computer Science
Mechanical Engineering
Electrical and Electronic Engineering

Online availability

10.1016/0167-6911(89)90059-5

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Cite this

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title = "Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size",

abstract = "The purpose of this paper is to investigate the effectiveness of vibrational stabilization for a class of linear systems with time delay. The total vibrational stabilizability conditions are formulated. The robustness of an oscillatory stabilizing effect with respect to the magnitudes of the delays and the parameters of oscillations is also investigated on the basis of numerical examples.",

keywords = "Vibrational stabilizability, linear systems, periodic control, robustness, time delays",

author = "J. Bentsman and J. Fakhfakh and Lehman, \{Rev B.\}",

note = "Vibrational stabilizability of systems described by ordinary differential equations has been investigated in a number of publications (cf. \textbackslash{}[8,1,2\textbackslash{}]). Many systems, however, require time delays in their states for adequate description. These are, for example, chemical reactors \textbackslash{}[9\textbackslash{}]a nd combustion systems \textbackslash{}[6\textbackslash{}]t o name a few. Feedback stabilization of time lag systems (cf. \textbackslash{}[4\textbackslash{}])r equires on-line measurements which are often slow and/or expensive; therefore it is of interest to investigate the effectiveness of an open loop vibrational stabilization * The work was supported by the Engineering Foundation under Grant RI-A-87-6. Computer time was provided by the National Center for Supercomputing Appfications of the University of Illinois at Urbana-Champaign.",

year = "1989",

month = apr,

doi = "10.1016/0167-6911(89)90059-5",

language = "English (US)",

volume = "12",

pages = "267--272",

journal = "Systems and Control Letters",

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publisher = "Elsevier B.V.",

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TY - JOUR

T1 - Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size

AU - Bentsman, J.

AU - Fakhfakh, J.

AU - Lehman, Rev B.

N1 - Vibrational stabilizability of systems described by ordinary differential equations has been investigated in a number of publications (cf. \[8,1,2\]). Many systems, however, require time delays in their states for adequate description. These are, for example, chemical reactors \[9\]a nd combustion systems \[6\]t o name a few. Feedback stabilization of time lag systems (cf. \[4\])r equires on-line measurements which are often slow and/or expensive; therefore it is of interest to investigate the effectiveness of an open loop vibrational stabilization * The work was supported by the Engineering Foundation under Grant RI-A-87-6. Computer time was provided by the National Center for Supercomputing Appfications of the University of Illinois at Urbana-Champaign.

PY - 1989/4

Y1 - 1989/4

N2 - The purpose of this paper is to investigate the effectiveness of vibrational stabilization for a class of linear systems with time delay. The total vibrational stabilizability conditions are formulated. The robustness of an oscillatory stabilizing effect with respect to the magnitudes of the delays and the parameters of oscillations is also investigated on the basis of numerical examples.

AB - The purpose of this paper is to investigate the effectiveness of vibrational stabilization for a class of linear systems with time delay. The total vibrational stabilizability conditions are formulated. The robustness of an oscillatory stabilizing effect with respect to the magnitudes of the delays and the parameters of oscillations is also investigated on the basis of numerical examples.

KW - Vibrational stabilizability

KW - linear systems

KW - periodic control

KW - robustness

KW - time delays

UR - https://www.scopus.com/pages/publications/0024641849

UR - https://www.scopus.com/pages/publications/0024641849#tab=citedBy

U2 - 10.1016/0167-6911(89)90059-5

DO - 10.1016/0167-6911(89)90059-5

M3 - Article

AN - SCOPUS:0024641849

SN - 0167-6911

VL - 12

SP - 267

EP - 272

JO - Systems and Control Letters

JF - Systems and Control Letters

IS - 3

ER -

Vibrational stabilization of linear time delay systems and its robustness with respect to the delay size

Abstract

Keywords

ASJC Scopus subject areas

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