WSEAS Transactions on Systems
Print ISSN: 1109-2777, E-ISSN: 2224-2678
Volume 11, 2012
Stability Map of Fractional Order Time-Delay Systems
Authors: ,
Abstract: In this paper, the stability robustness is considered for linear time invariant (LTI) fractional order systems with time delay against delay uncertainties. The complexity arises due to the exponential type transcendental terms and fractional order in their characteristic equation. We show that this procedure numerically reveals all possible stability regions exclusively in the space of the delay .Using the approach presented in this study, we can find all the locations where roots cross the imaginary axis. Finally, the concept of stability as a function of time delay is described for a general class of linear fractional order systems with multiple commensurate delays. Several numerical examples are provided to demonstrate the effectiveness of the proposed methodology.
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Keywords: Fractional order systems, time-delay systems, characteristic equation, stability, Root-Locus