Stability Analysis of Fractional Time Delayed Linear Time Invariant Systems with Infinitesimal Fractions

Please enable javascript in your browser.

Nasiri, Hamid Reza | 2014

506 Viewed

Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 47980 (05)
University: Sharif University of Technology
Department: Electrical Engineering
Advisor(s): Haeri, Mohammad
Abstract:
Time delay generates exponential transcendental terms in characteristic equations. Subsequently, the applied methods are narrow to assess the stability map of delayed fractional-order systems with vanishing fractions. In this case, it is convenient to approximate these equations with its integer-order counterparts to design controllers or investigating features of the systems. But, delay can cause enormous differences between characteristic of these two equations. This study offers a method to survey analytically the stability of fractional-order time delayed linear time invariant systems with infinitesimal fractions. In this method, equations are transferred to an explicit expression which enables one to analyze stability of retarded, neutral, and even integer-order systems simultaneously
Keywords:
Delayed Systems ; Stability Analysis ; Fractional Order System ; Convergent Fractions

No TOC