Abstract
We propose an active vibration absorption technique termed fractional-order delayed resonator (FODR) and address the associated control design, analysis, and optimization problems. The FODR utilizes the fractional calculus theory to provide additional degrees of freedom for control, enabling improved flexibility and robustness in suppressing vibrations. Parameterized control formulas are proposed, followed by a detailed analysis regarding the control parameters. Additionally, we introduce the ‘order scheduling’ tuning concept, which treats the order as a tunable parameter to further enhance the control flexibility. The results demonstrate that this powerful technique effectively widens feasible frequency bands, improves vibration control speed, and enhances stability robustness.
Published Version
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