Analysis of Robust Stability of Electromechanical Systems, Described by Fractional Order Transfer Function

Bohdan Kopchak1 kopchakb [at] gmail.com
  1. Department of Electric Machines and Apparatus, Institute of Power Engineering and Control Systems, Lviv Polytechnic National University, Ukraine, Lviv, S. Bandery street 12.
Abstract 

The majority of electromechanical systems are characterized by parametric uncertainty. This paper develops  the approach to determine the stability of control object, which is an important step in the selection process of fractional controller parameters during its robust synthesis of desired quality of the transition process. The research of transfer functions of electromechanical systems on the stability of fractional order differs from traditional systems. The method of approach to the definition of stability suitable for stability analysis of electromechanical systems, described by transfer functions of both fractional and integer order, has been examined. Informative parameter for quality control and stability of electromechanical systems has been established, which allows to obtain information about the stability, oscillation and the quality of the transition process of an output coordinate of electromechanical system in the first approximation.

References 

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[2]  A. G. Radwan, “On the stability of linear systems with fractional-order elements”, Chaos, Solitons & Fractals, vol.40, no.5, pp.2317-2328, 2009.

[3]  M. S. Tavazoei, “A note on the stability of fractional order systems”, Mathematics and computers in simulation, vol.79, no.5, pp.1566-1576, 2009.