Can transfer function and Bode diagram be obtained from Sumudu transform

被引:97
作者
Atangana, Abdon [1 ,2 ]
Akgul, Ali [3 ]
机构
[1] Univ Free State, Nat & Agr Sci, ZA-9300 Bloemfontein, South Africa
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan
[3] Siirt Univ, Art & Sci Fac, Dept Math, TR-56100 Siirt, Turkey
关键词
Transfer function; Laplace and Sumudu trans-forms; Fractional derivatives; SUBJECT; FLUID; FLOW;
D O I
10.1016/j.aej.2019.12.028
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In the last past year researchers have relied on the ability of Laplace transform to solve partial, ordinary linear equations with great success. Important analysis in signal analysis including the transfer function, Bode diagram, Nyquist plot and Nichols plot are obtained based on the Laplace transform. The output of the analysis depends only on the results obtained from Laplace transform. However, one weakness of Laplace transform is that the Laplace transform of even func-tion is odd while the Laplace transform of an old function is even which is lack of conservation of properties. On the other hand there exist a similar integral transform known as Sumudu transform has the ability to conserve the properties of the function from real space to complex space. The question that arises in the work, is the following: Can we apply the Sumudu transform to construct new transfer functions that will lead to new Bode, Nichols and Nyquist plots? this question is answered in this work. (c) 2019 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).
引用
收藏
页码:1971 / 1984
页数:14
相关论文
共 29 条
[1]   A novel method for a fractional derivative with non-local and non-singular kernel [J].
Akgul, Ali .
CHAOS SOLITONS & FRACTALS, 2018, 114 :478-482
[2]   Solutions of the linear and nonlinear differential equations within the generalized fractional derivatives [J].
Akgul, Esra Karatas .
CHAOS, 2019, 29 (02)
[4]   NEW FRACTIONAL DERIVATIVES WITH NON-LOCAL AND NON-SINGULAR KERNEL Theory and Application to Heat Transfer Model [J].
Atangana, Abdon ;
Baleanu, Dumitru .
THERMAL SCIENCE, 2016, 20 (02) :763-769
[5]   Thick sol-gel PZT film integrated in SOI-Based, micromachined ultrasonic transducers [J].
Belgacem, Brahim ;
Calame, Florian ;
Muralt, Paul .
2006 IEEE SENSORS, VOLS 1-3, 2006, :1-+
[6]  
Belgacem F.M., 2009, PIERS Online, V5, P355, DOI [10.2529/PIERS090120050621, DOI 10.2529/PIERS090120050621]
[7]  
Belgacem FBM., 2010, APPL MATH SCI, V4, P3665
[8]  
David A., 2004, MINDELL HUMAN MACHIN, P127
[9]  
Debnath L., 2016, INTEGRAL TRANSFORMS, DOI [DOI 10.1201/9781420010916, 10.1201/9781420010916]
[10]  
Dyke P.P.G., 2004, An Introduction to Laplace Transforms and Fourier series