Control of autoresonance in mechanical and physical models

Abstract

Autoresonant energy transfer has been considered as one of the most effective methods of excitation and control of high-energy oscillations for a broad range of physical and engineering systems. Nonlinear time-invariant feedback control provides effective self-tuning and self-adaptation mechanisms targeted at preserving resonance oscillations under variations of the system parameters but its implementation may become extremely complicated. A large class of systems can avoid nonlinear feedback, still producing the required state due to time-variant feed-forward frequency control. This type of control in oscillator arrays employs an intrinsic property of a nonlinear oscillator to vary both its amplitude and the frequency when the driving frequency changes. This paper presents a survey of recently published and new results studying possibilities and limitations of time-variant frequency control in nonlinear oscillator arrays.This article is part of the themed issue 'Horizons of cybernetical physics'.

Effect of Modulated Signals on Vibrational Resonance in a Harmonically Trapped Potential System

“…Various types of resonance can be realized in nonlinear systems such as the stochastic resonance [1,2], coherence resonance [3,4], auto resonance [5,6], ghost resonance [7][8][9], chaos resonance [10,11], parametric resonance [12,13] and vibrational resonance [14][15][16][17][18]. The present paper is concerned with vibrational resonance.…”

Horizons of cybernetical physics

“…It was discovered experimentally independently by Veksler and McMillan in the 1940s and is currently used in numerous cyclotron accelerators. Historical notes and some new results on autoresonance are presented by Agnessa Kovaleva [21].…”