Based on the bifurcation diagram technique, this paper analyses the stabilization conditions of the nonlinear chaotic Genesio-Tesi system with the use of a fractional order control scheme. Stability analysis is performed for the closedloop nonlinear chaotic system behavior, for the fractional order integral and derivative actions by mean of the bifurcation diagram. Numerical simulation examples...

In this paper, a fractional order flight controller design scheme for the altitude control of vertical take-off and landing (VTOL) UAV is presented. The altitude control system can be decoupled and identified as a simple first order plus time delay model under some constraints. Based on this identified model, the traditional modified Ziegler-Nichols PI controller can be designed. Meanwhile, the...

This paper deals with the tuning of fractional PID controllers, in which the orders of the integral and derivative parts, λ and μ, respectively, are fractional. The purpose is to take advantage of the introduction of these two parameters and fulfil additional specifications of design. A new method for tuning the fractional PID controller is proposed in this paper. The basic ideas of this new tu...

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...

In this paper, we directly derive a new discrete state space expression of the fractional order chaotic system based on the fractional order Grnwald-Letnikow(G-L) definition and design a variable structure controller with a new faster reachinglaw. The new reaching-law has the advantages of weakening the high frequency shake. Firstly, the condition of the discrete sliding mode surface is demonst...

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...

Purpose – The purpose of this paper is to detail the design of a fractional controller which was developed for the suppression of the flexural vibrations of the first mode of a smart beam. Design/methodology/approach – During the design of the fractional controller, in addition to the classical control parameters such as the controller gain and the bandwidth; the order of the derivative effect ...