References of "Abeloos, Gaëtan"
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See detailControl-based continuation of nonlinear structures using adaptive filtering
Abeloos, Gaëtan ULiege; Renson, Luc ULiege; Collette, Christophe ULiege et al

in Conference Proceedings of the Society for Experimental Mechanics Series (2021)

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See detailNon-invasive feedback stabilization of smooth and nonsmooth nonlinear systems
Abeloos, Gaëtan ULiege; Collette, Christophe ULiege; Kerschen, Gaëtan ULiege

Scientific conference (2020, September 07)

Unstable periodic orbits of nonlinear structures can be stabilized through differential control of the displacement. However, nonlinearities in the system generate non-fundamental harmonics that are fed ... [more ▼]

Unstable periodic orbits of nonlinear structures can be stabilized through differential control of the displacement. However, nonlinearities in the system generate non-fundamental harmonics that are fed back into the excitation signal, affecting the structure’s response and making the controller invasive. Adaptive filters are used to perform an online estimation of the Fourier coefficients of the displacement signal in order to cancel the invasiveness. The performance of the method is discussed for simulated experiments possessing smooth and non-smooth nonlinearities. [less ▲]

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See detailControl-Based Continuation of Nonlinear Structures Using Adaptive Filtering
Abeloos, Gaëtan ULiege; Renson, Ludovic; Collette, Christophe ULiege et al

Scientific conference (2020, February 10)

Control-Based Continuation uses feedback control to follow stable and unstable branches of periodic orbits of a nonlinear system without the need for advanced post-processing of experimental data. CBC ... [more ▼]

Control-Based Continuation uses feedback control to follow stable and unstable branches of periodic orbits of a nonlinear system without the need for advanced post-processing of experimental data. CBC relies on an iterative scheme to modify the harmonic content of the control reference and obtain a non-invasive control signal. This scheme currently requires to wait for the experiment to settle down to steady-state and hence runs offline (i.e. at a much lower frequency than the feedback controller). This paper proposes to replace this conventional iterative scheme by adaptive filters. Adaptive filters can directly synthesize either the excitation or the control reference adequately and can operate online (i.e. at the same frequency as the feedback controller). This novel approach is found to significantly accelerate convergence to non-invasive steady-state responses to the extend that the structure response can be characterized in a nearly-continuous amplitude sweep. Furthermore, the stability of the controller does not appear to be affected. [less ▲]

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See detailComparison between Control-Based Continuation and Phase-Locked Loop Methods for the Identification of Backbone Curves & Nonlinear Frequency Responses
Müller, Florian; Abeloos, Gaëtan ULiege; Ferhatoglu, Erhan et al

Conference (2020, February 10)

Control-based continuation (CBC) and phase-locked loops (PLL) are two experimental testing methods that have demonstrated great potential for the non-parametric identification of key nonlinear dynamic ... [more ▼]

Control-based continuation (CBC) and phase-locked loops (PLL) are two experimental testing methods that have demonstrated great potential for the non-parametric identification of key nonlinear dynamic features such as nonlinear frequency responses and backbone curves. Both CBC and PLL exploit stabilizing feedback control to steer the dynamics of the tested system towards the responses of interest and overcome important difficulties experienced when applying conventional testing methods such as sine sweeps to nonlinear systems. For instance, if properly designed, the feedback controller can prevent the system from exhibiting untimely transitions between coexisting responses or even losing stability due to bifurcations. This contribution aims to highlight the similarities that exist between CBC and PLL and present the first thorough comparison of their capabilities. Comparisons are supported by numerical simulations as well as experimental data collected on a conceptually simple nonlinear structure primarily composed of a thin curved beam. The beam is doubly clamped and exhibits nonlinear geometric effects for moderate excitation amplitudes. [less ▲]

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