Cascade architecture for nonlinear control of transient and stationary regimes of friction-induced vibrations

Abstract

This paper presents a new control approach for mitigating Friction-Induced Vibration (FIV) issued from the mode-coupling mechanism. The key idea is to put the friction system onto a cascade of independent subsystems by using a first stage control. Then, a second stage control is defined and proven to be much more efficient for controlling both the transient and stationary regimes of the FIV. Asymptotic stabilization is formally demonstrated for the whole control scheme. Moreover, by numerical simulations, it is shown that the performances of the closed loop systems present an interesting robustness with respect to parameter uncertainty and to the saturation phenomenon which opens up promising practical perspectives for the proposed control technique.

Efficacy of velocity feedback control for suppression of the friction-induced oscillation due to mode-coupling instability in a two degrees-of-freedom mechanical system

“…The proposed reduced-order controller was proven to have convincing performance, robustness, and feasibility and is a perspective for deployment in large-scale friction systems. Nechak and Morin (2022) have presented a new control approach for mitigating friction-induced vibration by splitting the friction system into manageable subsystems through a two-stage control, which results in improved efficiency, robustness, and practical perspectives. Nechak (2021) has analyzed the use of a nonlinear scheme consisting of a sliding-mode controller implemented with a high-gain state observer for the active control of friction-induced vibrations.…”