A Comparative Analysis of Laguerre-Based Approximators to the Grünwald-Letnikov Fractional-Order Difference. (2nd March 2015)

• Record Type: Journal Article
• Authors: Stanisławski, Rafał; Latawiec, Krzysztof J.; Łukaniszyn, Marian
• Other Names: Ding Baocang Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2015(2015)
• Publication Date: 2015-03-02
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2015/512104
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : This paper provides a series of new results in both steady-state accuracy and frequency-domain analyses for two Laguerre-based approximators to the Grünwald-Letnikov difference. In a comparative study, the Laguerre-based approximators are found superior to the classical Tustin- and Al-Alaoui-based approximators, which is illustrated in simulation examples.