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Stability map of multiple time delayed fractional order systems

  • Control Theory
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Abstract

In this paper, a novel method is presented to study the stability map of linear fractional order systems with multiple delays against uncertainties in delays. It is evident from the literature that the stability question of this class of dynamics has not been resolved yet. The backbone of the new methodology is inspired by an advanced clustering with frequency sweeping technique which enables the exhaustive determination of stability switching curves in the space of the delays. The proposed method detects all the stability regions exactly, in the parametric space of the time delays. An illustrative example is presented to confirm the proposed method results.

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Authors and Affiliations

  1. Mohammad Ali Pakzad is with Department of Electrical Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran

    Mohammad Ali Pakzad

  2. Faculty of Electrical and Computer Engineering, K. N. Toosi University of Technology, Tehran, Iran

    Mohammad Ali Nekoui

Authors
  1. Mohammad Ali Pakzad
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  2. Mohammad Ali Nekoui
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Corresponding author

Correspondence to Mohammad Ali Pakzad.

Additional information

Recommended by Associate Editor Young Soo Suh under the direction of Editor Hyungbo Shim.

Mohammad Ali Pakzad was born in Tehran, Iran on September 1981. He received his B.S. degree in Electronics Engineering from Karaj Branch, Islamic Azad University, Iran in 2005, an M.Sc. degree in Control Engineering from Science and Research Branch, Islamic Azad University, Tehran, Iran in 2009. His research interests include stability analysis of time-delayed systems, control systems theory, fractional order systems and model predictive control.

Mohammad Ali Nekoui was born in December 1952. He received his M.Sc. degree in Electrical Engineering from the University of Tehran in 1976, and his Ph.D. degree at the School of Electrical and Electronic Engineering in Computer and Control Department from University of Leeds, U.K. in 1997. Since 1980, he has been with the K.N.T. University of Technology. At present he is an Assistant Professor at the Faculty of Electrical and Computer Engineering of this university. His interest includes linear and nonlinear optimization, linear systems, optimal control, and different aspects of mathematics in control.

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Pakzad, M.A., Nekoui, M.A. Stability map of multiple time delayed fractional order systems. Int. J. Control Autom. Syst. 12, 37–43 (2014). https://doi.org/10.1007/s12555-012-0481-7

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  • DOI: https://doi.org/10.1007/s12555-012-0481-7

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