Error analysis in a high accuracy sampled-data velocity stabilising system using Volterra series Online publication date: Wed, 29-Apr-2015
by Ruslan Zarovskyi; Yuriy Vagapov; Roustiam Chakirov
International Journal of Systems, Control and Communications (IJSCC), Vol. 6, No. 3, 2015
Abstract: The paper presents a new method of analysis of error in a sampled-data velocity stabilising system operating under wide range pulse width modulation. The analysis is based on multi-channel model of the system obtained as a result of approximation of pulse-modulated signal from the output of a PWM converter. Approximation of piecewise-linear modulation characteristics of each channel was obtained as a series expansion of Hermite polynomials where the expansion comprises two polynomials of the first and third orders. Transfer functions of each channel and a closed-loop system were obtained using a multidimensional Z-transform based on Volterra series. The analytical expression of error under impact of a step input was derived using the transfer function of the closed-loop system. A DC electric drive was used as an example of high accuracy sample-data stabilising system in order to simulate and verify the proposed method.
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