Stabilization of periodic solutions of nonlinear mechanical systems : controllability and stability

E.L.B. Vorst, van de, A.R. Kant, M.J.G. Molengraft, van de, J.J. Kok, D.H. Campen, van

Research output: Contribution to journalArticleAcademicpeer-review

4 Citations (Scopus)

Abstract

In nonlinear mechanical systems, which show stable (sub)harmonic, quasi-periodic and/or chaotic responses, together with coexisting (unstable) harmonic solutions, a large reduction of maximum subharmonic, quasi-periodic, or chaotic displacement might be established if the coexisting unstable harmonic solution could be made stable. The control effort to obtain this goal can be very small. In this article, a method is presented for determining the controllability of periodically excited nonlinear mechanical systems. This method determines if an unstable periodic solution can be stabilized using control. Furthermore, a method for calculating the local stability of an earlier developed control method (i.e., sliding computed torque control) for the above-mentioned goal is presented. Simulation results are presented for a periodically excited beam system supported by a one-sided spring to demonstrate the capabilities of the above-presented methods.
Original languageEnglish
Pages (from-to)277-296
JournalJournal of Vibration and Control
Volume4
Issue number3
DOIs
Publication statusPublished - 1998

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