Title: Error analysis in a high accuracy sampled-data velocity stabilising system using Volterra series

Authors: Ruslan Zarovskyi; Yuriy Vagapov; Roustiam Chakirov

Addresses: Department of Industrial Electronics, Chernihiv National University of Technology, 95 Shevchenko Street, Chernihiv, 14027, Ukraine ' Department of Engineering and Applied Physics, Glyndwr University, Plas Coch, Mold Road, Wrexham, LL11 2AW, UK ' Department of Electrical and Mechanical Engineering, Bonn-Rhein-Sieg University of Applied Science, 20 Grantham-Allee, Sankt Augustin, D-53757, Germany

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.

Keywords: Volterra-Wiener series; multidimensional Z-transforms; high accuracy drives; DC electric drives; nonlinear sampled-data systems; error analysis; velocity stabilising systems; pulse width modulation; PWM converters; simulation.

DOI: 10.1504/IJSCC.2015.068909

International Journal of Systems, Control and Communications, 2015 Vol.6 No.3, pp.222 - 240

Received: 08 Aug 2014
Accepted: 02 Nov 2014
Published online: 29 Apr 2015 *

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