On Systematic Design of Fractional-Order Element Series

On Fractional-Order PID Design

Fractional-order PIλDμ controller design

This paper introduces a new design method of fractional-order proportional–derivative (FOPD) and fractional-order proportional–integral–derivative (FOPID) controllers. A biquadratic approximation of a fractional-order differential operator is used to introduce a new structure of finite-order FOPID controllers. Using the new FOPD controllers, the controlled systems can achieve the desired phase ...

Fractional order robust adaptive intelligent controller design for fractional-order chaotic systems with unknown input delay, uncertainty and external disturbances

In this paper, a fractional-order robust adaptive intelligent controller (FRAIC) is designed for a class of chaotic fractional order systems with uncertainty, external disturbances and unknown time-varying input time delay. The time delay is considered both constant and time varying. Due to changes in the equilibrium point, adaptive control is used to update the system's momentary information a...

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...

Finite element approximation of fractional order elliptic boundary value problems

A finite element numerical method is investigated for fractional order elliptic boundary value problems with homogeneous Dirichlet type boundary conditions. It is pointed out that an appropriate stiffness matrix can be obtained by taking the prescribed fractional power of the stiffness matrix corresponding to the non-fractional elliptic operators. It is proved that this approach, which is also ...