Algebraic fractional order differentiator based on the pseudo-state space representation
2019 ◽
Vol 22
(5)
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pp. 1395-1413
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Abstract The aim of this paper is to design an algebraic fractional order differentiator for a class of commensurate fractional order linear systems modeled by the pseudo-state space representation. For this purpose, a new algebraic method is introduced by designing an operator which can transform the considered system into a fractional order integral equation by eliminating unknown initial conditions. Based on the obtained equation, the desired fractional derivative is exactly given by a new algebraic formula using a recursive way. Then, a digital fractional order differentiator is introduced in discrete noisy cases. Finally, numerical results are given to illustrate the accuracy and the robustness of the proposed method.
2010 ◽
Vol 59
(5)
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pp. 1842-1851
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2013 ◽
Vol 8
(4)
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1986 ◽
Vol 108
(2)
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pp. 96-105
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2021 ◽
Vol 104
◽
pp. 103294
Keyword(s):
Predicting equity premium using dynamic model averaging. Does the state–space representation matter?
2021 ◽
Vol 57
◽
pp. 101442
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