In this note, we consider the single term optimal fractional-order damper for an otherwise undamped oscillator. First, we find the single term damper that minimizes the time domain integral of the squared step error (2-norm) and the integral of the time-weighted squared error (Hilbert-Schmidt-Hankel-norm). Next we consider a more intuitive frequency domain approach that insures the maximally flat magnitude response. Time- and frequency-domain plots are given for comparison with the integer-order solutions.
Volume Subject Area:Mechanical Vibration and Noise
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