VIBRATIONAL CONTROL OF A CLASS OF NONLINEAR SYSTEMS BY NONLINEAR MULTIPLICATIVE VIBRATIONS.

Research output: Contribution to journalArticle

Abstract

Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.

Original languageEnglish (US)
Pages (from-to)2042-2047
Number of pages6
JournalProceedings of the IEEE Conference on Decision and Control
StatePublished - 1986

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Nonlinear systems
Multiplicative
Nonlinear Systems
Vibration
Parametric Excitation
Stabilizability
Nonlinear Control
Control theory
Control Theory
Reactor
Dynamical systems
Dynamical system
Motion
Zero
Class

ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

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title = "VIBRATIONAL CONTROL OF A CLASS OF NONLINEAR SYSTEMS BY NONLINEAR MULTIPLICATIVE VIBRATIONS.",
abstract = "Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.",
author = "Joseph Bentsman",
year = "1986",
language = "English (US)",
pages = "2042--2047",
journal = "Proceedings of the IEEE Conference on Decision and Control",
issn = "0191-2216",
publisher = "Institute of Electrical and Electronics Engineers Inc.",

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N2 - Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.

AB - Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. The author extends nonlinear vibrational control theory developed elsewhere to systems controlled by nonlinear multiplicative vibrations. Conditions for vibrational stabilizability with respect to a component of steady-state vector, the choice of stabilizing vibrations, and the transient motions are discussed for a certain practically important class of nonlinear vibrationally controlled systems. The application of the results is demonstrated for the example of a catalytic reactor, using a combination of numerical and analytical techniques.

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