Spectral design of robust delayed resonator by double-root assignment

Matěj Kuře (1) , Tomas Vyhlidal (1) , Wim Michiels (2) , Islam Boussaada (3, 4, 5)

1 CTU - Czech Technical University in Prague
2 DCS - Department of Computer Science [Leuven]
3 L2S - Laboratoire des signaux et systèmes
4 DISCO - Dynamical Interconnected Systems in COmplex Environments
5 IPSA - Institut Polytechnique des Sciences Avancées

A robust alternative of the delayed resonator is proposed by spectral approach. By double root assignment at the excitation frequency, which is projected to widening the stop-band in the active absorber frequency response, the performance sensitivity to the mismatch between the design and true excitation frequency is considerably decreased. Additionally, the overall scheme is supplemented by a control loop which improves the stability margin. The design is validated by simulations and the results are compared with classical delayed resonator.

Keywords: Double root assignment; active vibration control; robust control; acceleration feedback; spectral method; delayed resonator

Domains: Engineering Sciences [physics]; Automatic; Mathematics [math]; Dynamical Systems [math.DS]

Matěj Kuře, Tomas Vyhlidal, Wim Michiels, Islam Boussaada. Spectral design of robust delayed resonator by double-root assignment. IFAC-PapersOnLine, 2018, 51 (14), pp.72-77. ⟨10.1016/j.ifacol.2018.07.201⟩. ⟨hal-01957517⟩