-Fractional Fourier Transform is a generalization of the classical Fourier Transform, which has found its most useful applications for the transient analysis of the signals. This paper studies the span of the Fractional Fourier Transform in relation with the amplitude and phase functions of the signal and provides a mathematical derivation for the generalized case. The derived expression is sho...

The main aim of this contribution is to introduce the fundamentals of the Fractional Order Calculus (FOC) and outline its possible application to analysis and synthesis of control systems. The basic theoretical concepts of FOC are followed by techniques for potential fractional order systems description and stability investigation. Moreover, the paper offers the overview of the existing fractio...

In this paper it is studied the implementation of fractional-order algorithms in the position/force control of two cooperating robotic manipulators. The system performance is analyzed in the time and frequency domains. We analyze and compare different control methodologies such as the integer and the fractional-order PID presenting the simulation results assessing the performance of the propose...

A fractional-order control strategy for pneumatic position servosystem is presented in this paper. The idea of the fractional calculus application to control theorywas introduced inmanyworks, and its advantages were proved. However, the realization of fractional-order controllers for pneumatic position servosystems has not been investigated. Based on the relationship between the pressure in cyl...

This paper deals with feedback control of fractional-order Chua’s system. The fractional-order Chua’s system with total order less than three which exhibit chaos as well as other nonlinear behavior and theory for control of chaotic systems using sampled data are presented. Numerical experimental example is shown to verify the theoretical results.

PID controllers belong to the dominating industrial controllers (Leššo, 1997) and therefore there is a continuous effort to improve their quality and robustness. One of the possibilities to improve PID controllers is to use fractional order controllers with non integer derivation and integration parts. The controlled objects are generally of fractional order, however for many of them, the fract...

Over the few last years the idea of introducing fractional calculus and systems in adaptive control has found a great interest, for the benefit one can win in the performances given by such systems. In adaptive control, the dynamic behavior of the system is defined by a chosen reference model and an adaptation algorithm modifies the correction to minimize the process output error. In this work,...