Stability Map of Multiple Time Delayed Fractional Order Systems

作者：Pakzad Mohammad Ali^*; Nekoui Mohammad Ali

来源：International Journal of Control Automation and Systems, 2014, 12(1): 37-43.

DOI：10.1007/s12555-012-0481-7

• Fractional delay systems
• frequency sweeping
• multiple time delay
• stability map

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.

• 出版日期2014-2