首页|Implementation of fractional-order difference via Takenaka-Malmquist functions

Implementation of fractional-order difference via Takenaka-Malmquist functions

扫码查看
原文链接
  • NSTL
  • Elsevier
? 2022 The Author(s)The paper presents a new definition of nabla fractional-order difference, equivalent to the Grünwald-Letnikov difference. The difference is based on the general approach of orthonormal basis functions in terms of discrete-time Takenaka-Malmquist filters. The main advantage of the proposed definition is that for finite model length, the model quickly converges to the actual difference. The paper proposes the method of selecting the poles of the Takenaka-Malmquist functions. It also proposes the implementation of the Takenaka-Malmquist-based difference in non-commensurate state-space system and fractional-order integrator. Simulation experiments show the proposed methodology's high effectiveness in modeling fractional-order difference, integrator, and non-commensurate state-space systems.

Grünwald-Letnikov differenceNabla discrete-time differenceNon-commensurate fractional-order state-space systemTakenaka-Malmquist functions

Stanislawski R.、Koziol K.、Rydel M.

展开 >

Department of Electrical Control and Computer Engineering Opole University of Technology

2022

10.1016/j.amc.2022.127452

Applied mathematics and computation

Applied mathematics and computation

EISCI
ISSN：0096-3003
年,卷(期)：2022.434
  • 1
  • 25