Order and pole locator estimation in fractional order systems using bode diagram

Authors:
Mahmood Ghanbari;Mohammad Haeri
Affiliations:
Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran;Advanced Control System Lab, Electrical Engineering Department, Sharif University of Technology, Tehran, Iran
Venue:
Signal Processing
Year:
2011

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Abstract

This paper deals with estimation of fractional order and pole locator in fractional order systems. The estimation is based on Bode diagram of the system that is obtained using input and output measurements. Here the magnitude diagram is approximated with number of straight lines depending on the level of complexity and in consequence a very good estimation of fractional order and acceptable approximations of pole locators are determined. Relying on the proposed method, complexity of fractional order system identification which is mostly due to the estimation of fractional order is substantially resolved. Some example simulation results are provided to explain the work and show its effectiveness.