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오늘 본 자료
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- 저자 : Mohammad Ali Pakzad (검색결과 3 건)
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Stability Analysis of Time-Delayed Linear Fractional-Order Systems
Mohammad Ali Pakzad,Sara Pakzad,Mohammad Ali Nekoui 제어·로봇·시스템학회 2013 International Journal of Control, Automation, and Vol.11 No.3
In this article, an exact and robust method for the determination of all the possible stability regions in the parametric space has been presented for the fractional order systems with time delay. Using the approach presented in this study, first, the transcendental terms have been eliminated from the characteristic equation and then, all the locations on the imaginary axis crossed by the roots and also their direction of crossing have been calculated. Finally, the concept of the stability as a function of the time delay has been described for a general class of linear fractional order systems with several commensurate delays. Prior to the conclusion, several examples have been given to validate the results of the proposed approach.
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Stability Map of Multiple Time Delayed Fractional Order Systems
Mohammad Ali Pakzad,Mohammad Ali Nekoui 제어·로봇·시스템학회 2014 International Journal of Control, Automation, and Vol.12 No.1
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 pre-sented to confirm the proposed method results.
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A Practical Method for Stability Analysis of Linear Fractional-order Systems with Distributed Delay
Mohammad Ali Pakzad 제어·로봇·시스템학회 2022 International Journal of Control, Automation, and Vol.20 No.4
In this paper, an effective method using the cluster treatment of characteristic roots (CTCR) technique is investigated for the stability analysis of a general class of fractional order systems (FOSs) with distributed delay. To conclude this goal, the characteristic equation of a FOSs with distributed delay is transformed to the characteristic equation of a FOSs with multiple delays; it is shown that the stability analyses of these two systems are equivalent. The magnitude of both delays, are considered to have non-zero values so that a comprehensive analysis is performed in the parametric space of delays. For obtaining stability switch curves also the procedure advanced clustering with frequency sweeping (ACFS) method is used. The proposed method of this article determines the stability map of such systems in the parametric space of delays accurately. The significance of this proposed method is in that, a comprehensive and precise stability analysis of such systems is not presented in the literature yet and this article is the first attempt to solve this challenging problem. The practicality and effectiveness of this method is shown here with an illustrative example.
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