In this paper, multi-objective optimization is used for Pareto optimum design of fuzzy fractional-order PID controllers for plants with parametric uncertainties. Two conflicting objective functions have been used in Pareto design of the fuzzy fractional-order PID controller. The results clearly show that an effective trade-off can be compromisingly achieved among the different fuzzy fractional-...

A novel fractional order (FO) fuzzy Proportional-Integral-Derivative (PID) controller has been proposed in this paper which works on the closed loop error and its fractional derivative as the input and has a fractional integrator in its output. The fractional order differ-integrations in the proposed fuzzy logic controller (FLC) are kept as design variables along with the input-output scaling f...

The main objective of this paper is to design a fractional-order PID speed controller for vector-controlled induction motors, where possible parameter variations and load disturbances are considered. The required parameters of the fractional-order PID controller can be obtained by utilizing the Matlab optimization toolbox, in which phase margin, gain-crossover frequency, high-frequency noise re...

In this paper we introduce the different types of the Fractional Order PID controllers and presented some of its application to Industry and robotics Key-Words: Fractional Order Calculus, Differintegration, Fractional Order Controllers, Control Theory, Control Systems, PID controller, tuning, auto-tuning.

Good way to the more efficient control of Higher Order Control System is to use fractional order PID controllers. In this paper, Fractional order PID Controller for Higher Order Control System is proposed and designed for 3 order control system. Podlubny proposed a generalization of the PID controller, namely the PI D controller, involving an integrator of order and a differentiator of order μ....

In process industries PID controllers are used more. In PID controller we have three parameters for tuning and tuning is done by using Ziegler-Nicholas method. In this paper we used fractional PID controller for coupled tank system and by using a tuning method for getting required response. First used zieglar-nicholas and Astrom-Hagglund method for tuning, then derived two non-linear equations ...

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...

This paper proposes two novel fuzzy fractional PID structures. The tuning of the fuzzy fractional controllers is based on the prior knowledge of fractional-order control tuning rules. The digital implementation of these controllers is also investigated. The effectiveness and robustness of the proposed tuning methodology is illustrated through its application on a fractional-order plant. The sim...