Novel direct optimal and indirect method for discretization of linear fractional systems |
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| Authors: | Milan R. Rapaić Tomislav B. Šekara |
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| Affiliation: | (1) School of Electronic and Information Engineering, Dalian Jiaotong University, Dalian, People’s Republic of China;(2) Department of Electrical and Computer Engineering, CSOIS, Utah State University, Old Main Hill 4160, Logan, UT 84322-4120, USA;(3) School of Electronic and Information Engineering, Dalian University of Technology, Dalian, People’s Republic of China |
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| Abstract: | This paper addresses the problem of discretization of fractional differintegrators and fractional systems in general. Two new discretization schemes are proposed—optimal direct method, and computationally inexpensive indirect method. The proposed methods are highly flexible and suitable for obtaining both general purpose and specialized, application-specific approximations. Both proposed methods outperform recently proposed approximations, as it is shown in several illustrative examples. |
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