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Simulation and Discretization of Fractional Order Mohamad Adnan Al-Alaoui

Summary: Simulation and Discretization of Fractional Order
Mohamad Adnan Al-Alaoui
Department of Electrical and Computer Engineering, American University of Beirut, Beirut, Lebanon
Abstract - This work deals with the simulation and
discretization of continuous time models with fractional order
differentiation or integration. It addresses the issue of direct
discretization of analog fractional order systems followed by
approximating the discretization result with an integer order
transfer function or approximating the analog fractional
order system with an integer analog order system and then
discretizing the resulting integer analog approximation. It
provides a counterexample to the claim that analog integer
order approximation followed by discretization is superior to
the direct discretization approach.
Keywords: Al-Alaoui operator, discretization, fractional
order systems, simulation, Tustin transform.
1 Introduction
Fractional systems are systems that are represented by
differential equations that allow non integer orders. This is a


Source: Al-Alaoui, Mohamad Adnan - Faculty of Engineering and Architecture, American University of Beirut, Lebanon


Collections: Engineering