contributor author | Wei, Yiheng | |
contributor author | Zhang, Hui | |
contributor author | Hou, Yuqing | |
contributor author | Cheng, Kun | |
date accessioned | 2022-02-05T22:12:18Z | |
date available | 2022-02-05T22:12:18Z | |
date copyright | 2/4/2021 12:00:00 AM | |
date issued | 2021 | |
identifier issn | 0022-0434 | |
identifier other | ds_143_06_061008.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl1/handle/yetl/4277119 | |
description abstract | Our topic is the rational approximation of fractional order systems under Riemann–Liouville definition. This is a venerable, vast, fundamental area which attracts ongoing attention in coming years. In this work, the multiple fixed-pole scheme is developed. First, new schemes with different relative degree are developed to approximate fractional operators. Then, the fractional order is extended to the case of α>1. A discussion is made on the uniformity between the differentiator-based method and the integrator-based method. Afterward, the multiplicity of pole/zero is further generalized. In this framework, the nonzero initial instant and nonzero initial state are considered. Four examples are finally provided to show the feasibility and effectiveness of the developed algorithms. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Multiple Fixed Pole-Based Rational Approximation for Fractional Order Systems | |
type | Journal Paper | |
journal volume | 143 | |
journal issue | 6 | |
journal title | Journal of Dynamic Systems, Measurement, and Control | |
identifier doi | 10.1115/1.4049557 | |
journal fristpage | 061008-1 | |
journal lastpage | 061008-10 | |
page | 10 | |
tree | Journal of Dynamic Systems, Measurement, and Control:;2021:;volume( 143 ):;issue: 006 | |
contenttype | Fulltext | |