Exact time response computation of control systems with fractional order lag and lead compensators

Küçük Resim Yok

Tarih

2016

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

North Atlantic University Union

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In 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.

Açıklama

Anahtar Kelimeler

Fractional order control system, Fractional order lag and lead compensators, Frequency response, Impulse response, Step response, Time response, Time response from frequency response

Kaynak

International Journal of Circuits, Systems and Signal Processing

WoS Q Değeri

Scopus Q Değeri

N/A

Cilt

10

Sayı

Künye