Tan N.Atherton D.P.Yuce A.Deniz F.N.2024-08-042024-08-0420161998-4464https://hdl.handle.net/11616/91866In this paper, two exact methods are developed for the computation of unit step and unit impulse responses of closed loop control systems with fractional order lag and lead compensators. The methods are based on using the frequency response data of the closed loop fractional order control system. It is shown that the unit step and unit impulse responses of a feedback control system including a fractional order lag or lead controller can be computed exactly using Fourier series of a square wave and inverse Fourier transform of frequency response information namely gain and phase values. Time response equations which are the function of controller parameters are derived. A design procedure is given for estimating the parameters of a fractional order lag or lead compensator which give specified performance values of the closed loop system. Numerical examples are provided to show the success of the presented method. © 2016, North Atlantic University Union. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional order control systemFractional order lag and lead compensatorsFrequency responseImpulse responseStep responseTime responseTime response from frequency responseArticle102602682-s2.0-84968912309N/A