Vibrational control of nonlinear time lag systems: Vibrational stabilization and transient behavior

Joseph Bentsman, Keum S. Hong, Jamel Fakhfakh

Research output: Contribution to journalArticlepeer-review

Abstract

This paper addresses two problems of control of nonlinear time lag systems: (i) an existence and a synthesis of parametric vibrations for their stabilization and (ii) the transient behavior analysis of the vibrationally controlled nonlinear systems with time lags. In this work, stabilizability conditions for two vibration types are formulated and procedures for the synthesis of the corresponding stabilizing vibrations are proposed. The method for the transient behavior analysis of vibrationally controlled systems on a finite time interval is developed as well. Several examples are given to support the theory presented.

Original languageEnglish (US)
Pages (from-to)491-500
Number of pages10
JournalAutomatica
Volume27
Issue number3
DOIs
StatePublished - May 1991

Keywords

  • Nonlinear systems
  • stability
  • time lag systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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