Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems
Joint Authors
Bania, Piotr
Baranowski, Jerzy
Zagórowska, Marta
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-08-11
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
One of the most important issues in application of noninteger order systems concerns their implementation.
One of the possible approaches is the approximation of convolution operation with the impulse response of noninteger system.
In this paper, new results on the Laguerre Impulse Response Approximation method are presented.
Among the others, a new proof of L 1 convergence of approximation is given, allowing less strict assumptions.
Additionally, more general results are given including one regarding functions that are in the joint part of L 1 and L 2 spaces.
The method was also illustrated with examples of use: analysis of “fractional order lag” system, application to noninteger order filters design, and parametric optimization of fractional controllers.
American Psychological Association (APA)
Bania, Piotr& Baranowski, Jerzy& Zagórowska, Marta. 2016. Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112831
Modern Language Association (MLA)
Bania, Piotr…[et al.]. Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-13.
https://search.emarefa.net/detail/BIM-1112831
American Medical Association (AMA)
Bania, Piotr& Baranowski, Jerzy& Zagórowska, Marta. Convergence of Laguerre Impulse Response Approximation for Noninteger Order Systems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-13.
https://search.emarefa.net/detail/BIM-1112831
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112831