What is it about?

We propose a new methodology to compute feedback gains of closed-loop vibration control systems such that the sensitivity against system changes is mitigated. This novel approach is based only on known physical quantities of the system.

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Why is it important?

Several applications of active vibration control, as structural damage prevention due to resonances or flutter phenomenon, can take benefit of robustness of the design for the feedback gains. The approach is versatile, and cover feedback of displacement plus velocity (state) and velocity plus acceleration (derivative).

Perspectives

The proposal opens a new perspective in the field active vibration control, since that the traditional techniques based on the condition number of the eigenvector matrix need of some estimation of it. It is no easy to compute for a system with many degrees-of-freedom. Using the system parameters, like the mass, damping, and stiffness, which come from a finite element model or a lumped parameter one, is much more intuitive and safe.

José Araújo
Instituto Federal de Educacao Ciencia e Tecnologia da Bahia

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This page is a summary of: Robustness of the quadratic partial eigenvalue assignment using spectrum sensitivities for state and derivative feedback designs, Journal of Low Frequency Noise Vibration and Active Control, February 2018, SAGE Publications,
DOI: 10.1177/1461348418755614.
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