Exciting multi-DOF systems by feedback resonance

Denis Efimov 1, 2 Alexander Fradkov 3 Tetsuya Iwasaki 4
1 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : The mechanism of entrainment to natural oscillations in a class of (bio)mechanical systems described by linear models is investigated. Two new nonlinear control strategies are proposed to achieve global convergence to a prescribed resonance mode of oscillation within a finite time. Effectiveness of the proposed methods for resonance entrainment is demonstrated by examples of computer simulation for linear and nonlinear systems.
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Denis Efimov, Alexander Fradkov, Tetsuya Iwasaki. Exciting multi-DOF systems by feedback resonance. Automatica, Elsevier, 2013, 49 (6), pp.1782--1789. ⟨hal-00813506⟩

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