A New Integer Order Approximation Table for Fractional Order Derivative Operators

Approximation of a Fractional Order System by an Integer Order Model Using Particle Swarm Optimization Technique

System identification is a necessity in control theory. Classical control theory usually considers processes with integer order transfer functions. Real processes are usually of fractional order as opposed to the ideal integral order models. A simple and elegant scheme is presented for approximation of such a real world fractional order process by an ideal integral order model. A population of ...

Design of Fractional-Order PI Controller For Integer-Order Systems

The aim of this work is to design a fractional-Order PI controller for Integer-order type systems so that to improve the performance and robustness of integer-order type systems. The design of FO-PI controller in the sense that good set-point tracking and load disturbance rejection is minimized by increasing fractional-order element “α” putting constraint on peak sensitivity function. The metho...

Integer-order Versus Fractional-order Adaptive Fuzzy Control of Electrically Driven Robots with Elastic Joints

Real-time robust adaptive fuzzy fractional-order control of electrically driven flexible-joint robots has been addressed in this paper. Two important practical situations have been considered: the fact that robot actuators have limited voltage, and the fact that current signals are contaminated with noise. Through of a novel voltage-based fractional order control for an integer-order dynamical ...

Fractional order [proportional derivative] controller for a class of fractional order systems

Recently, fractional order systems (FOS) have attractedmore andmore attention in various fields. But the control design techniques available for the FOS suffer from the lack of direct systematic approaches. In this paper, we focus on a given type of simple model of FOS. A fractional order [proportional derivative] (FO-[PD]) controller is proposed for this class of FOS, and a practical and syste...

A Novel Control Method for Integer Orders Chaos Systems via Fractional-Order Derivative