Various Methods of Realization for Fractional-Order Elements

Analogue Realization of Fractional-Order Dynamical Systems

As it results from many research works, the majority of real dynamical objects are fractional-order systems, although in some types of systems the order is very close to integer order. Application of fractional-order models is more adequate for the description and analysis of real dynamical systems than integer-order models, because their total entropy is greater than in integer-order models wi...

Analog Realization of Fractional Order Circuits

Comparison of acceleration techniques of analytical methods for solving differential equations of integer and fractional order

The work  addressed in this paper is a comparative study between convergence of the  acceleration techniques, diagonal pad'{e} approximants and shanks transforms, on Homotopy analysis method  and Adomian decomposition method for solving  differential equations of integer and fractional orders.

Realization of Fractional-Order Capacitors with Field-Effect Transistors

A novel and efficient approach to realize fractional-order capacitors is investigated in this paper. Meanwhile, a new approach which is more efficient for semiconductor implementation of fractional-order capacitors is proposed. The feasibility of the approach has been verified with the preliminary measured results. Keywords—Fractional-order, field-effect transistors, RC transmission lines.

Realization of Fractional Order Controllers by Using Multiple Tuning-Rules

Fractional order PID controller has two degrees of freedom more than the integer order PID controller,and it has better control performance. The paper briefly describes the fractional order PID controller, and through Ziegler-Nichols type tuning rules, Padula & Visioli tuning rules and tuning by minimization methods to achieve fractional order PID controllers respectively. Additionally, the Ous...