In this paper, a direct synthesis approach to fractional order controller design Is investigated. The proposed algorithm makes use of Taylor series of both desired closed-loop and actual closed-loop transfer function which is truncated to the first five terms. FOPID Controller parameters are synthesized in order to match the closed-loop response of the plant to the desired closed-loop response....

This paper deals with the design of Fractional Order Proportional Integral (FO-PI) controller for the speed control of DC motor. A mathematical model of DC motor control system is derived and based on this model fractional order PI controller is designed using stability boundary locus method to satisfy required gain margin (GM) and phase margin (PM) of the system. Servo and Regulatory tracking ...

A universal approach by Laplace transform to the variational iteration method for fractional derivatives with the nonsingular kernel is presented; in particular, the Caputo-Fabrizio fractional derivative and the Atangana-Baleanu fractional derivative with the non-singular kernel is considered. The analysis elaborated for both non-singular kernel derivatives is shown the necessity of considering...

Abstract The main goal of this paper is estimating certain new fractional integral inequalities for the extended Chebyshev functional in sense synchronous functions by employing proportional (PFI) and Hadamard integral. We establish concerning one- two-parameter integrals. also discuss particular cases.

1-Department of Electrical Engineering, Amirkabir University of Technology, Tehran 1591634311, Iran * Corresponding author email: [email protected] ABSTRACT: A fractional order PID (FOPID) for a load frequency control (LFC) is presented in a three-area power system. FOPID controllers are designed the same way as PID controllers are, with the difference that FOPID controllers have five parameters...

Approximating the solution of differential equations of fractional order is necessary because fractional differential equations have extensively been used in physics, chemistry as well as engineering fields. In this paper with central difference approximation and Newton Cots integration formula, we have found approximate solution for a class of boundary value problems of fractional order. Three...

and Applied Analysis 3 2. Background Materials and Lemmas For the convenience of the readers, in this section, we provide definitions of RiemannLiouville fractional integral and fractional derivative and some of their basic properties which will be helpful in the forth coming investigations. Definition 2.1 see 2, 5 . For a function φ : a,∞ → R, the Riemann-Liouville fractional integral of order...

Fractional order (FO) controllers are highly considered with regard to higher performance and robustness of these controllers in FO systems. According to advantages of PID controllers such as suitable performance, low price and simplicity of design, they are widely used in industry. A FOPID controller is used for two-link robot control in this paper. Considering vast use of evolutionary algorit...

A new optimum interval type-2 fuzzy fractional-order controller for a class of nonlinear systems with incipient actuator and system component faults is introduced in this study. The the (leak) are taken into account using an additive model. Interval Type-2 Fuzzy Sets (IT2FS) used to design optimal fractional order controller, two different nature inspired metaheuristic algorithms, Follower Poll...

fractional calculus has been used to model the physical and engineering processes that have found to be best described by fractional differential equations. for that reason, we need a reliable and efficient technique for the solution of fractional differential equations. the aim of this paper is to present an analytical approximation solution for linear and nonlinear multi-order fractional diff...