Title :
Haar wavelet-based simulation of the fractional-order systems
Author :
Li, Yuan-lu ; Ge, Hua-min ; Zhao, Wei-wei
Author_Institution :
Coll. of Inf. & Control, Nanjing Univ. of Inf. Sci. & Technol., Nanjing, China
Abstract :
Fractional-order systems, because of its long-memory nature. have been used increasingly to model natural phenomena. However, Computational difficulties of the fractional-order calculus have delayed application of fractional-order systems in engineering. For this purpose, after deriving the fractional-order integral matrix of the Haar wavelet we present a method for analysis of the fractional-order systems. Examples verify the correctness and feasibility of the proposed method. The method greatly facilate the design of fractional-order control systems.
Keywords :
Haar transforms; matrix algebra; simulation; Haar wavelet-based simulation; fractional-order calculus; fractional-order integral matrix; fractional-order systems; long-memory nature; Artificial neural networks; Computational modeling; Control systems; Differential equations; Fractals; Fractional calculus; Haar wavelet; fractional -order calculus; fractional-order systems;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2010 8th World Congress on
Conference_Location :
Jinan
Print_ISBN :
978-1-4244-6712-9
DOI :
10.1109/WCICA.2010.5553855
