Návrh systémů aktivního řízení vibrací

Abstract

Feedback active vibration damping is a high-order problem with low robustness. If we do not limit control to just one dominant mode of vibration and apply a low-pass filter to the rest of the signal to suppress the influence of higher modes, we face the challenge of designing a feedback control system that is stable and does not unnecessarily amplify other uncontrolled vibration modes.

This work includes a description of mechanical vibrating systems and the basic theory of vibration damping. A laboratory model is then described and created from simple components, along with a simplified simulation model. This model includes piezoelectric transducers for both the vibration sensor and the actuator. Piezoelectric elements are known for higher transmission at higher frequencies, often leading to the so-called spillover effect, where higher modes are unintentionally amplified by the control system, potentially leading to instability. A methodology is proposed for breaking down the problem into a large number of simple equations that meet the defined conditions for optimization quality. A finite impulse response (FIR) filter is used in the feedback, and its coefficients are found using metaheuristic optimization. The results are then verified through simulation and measurement.