Vibrational Control of a Class of Nonlinear Systems by Nonlinear Multiplicative Vibrations

Research output: Contribution to journalArticlepeer-review

Abstract

Vibrational control is a nonclassical control principle which proposes a utilization of zero mean parametric excitation of a dynamical system for control purposes. This paper extends nonlinear vibrational control theory developed in [8], [9] to systems controlled by nonlinear multiplicative vibrations. Condition for partial vibrational stabilization with respect to a component of a 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 on the example of a catalytic reactor, using a combination of numerical and analytical techniques.

Original languageEnglish (US)
Pages (from-to)711-716
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume32
Issue number8
DOIs
StatePublished - Aug 1987

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

Fingerprint Dive into the research topics of 'Vibrational Control of a Class of Nonlinear Systems by Nonlinear Multiplicative Vibrations'. Together they form a unique fingerprint.

Cite this