Identification of system with distributed-order derivatives
2021 ◽
Vol 24
(5)
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pp. 1619-1628
Keyword(s):
Abstract The identification problem for system with distributed-order derivative was considered. The order-weight distribution was approximated by piecewise linear functions. Then the discretized order-weight distribution was solved in frequency domain by using the least square technique based on the Moore-Penrose inverse matrix. Finally, five representative numerical examples were used to illustrate the validity of the method. The identification results are satisfactory, especially for the continuous order-weight distributions. In addition, the overlapped Bode magnitude frequency responses from the identified and exact transfer functions imply the effectiveness of the method.
2015 ◽
Vol 799-800
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pp. 989-993
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1990 ◽
Vol 428
(1875)
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pp. 351-377
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2018 ◽
Vol 34
(5)
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pp. 1035-1055
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Keyword(s):
1991 ◽
Vol 19
(2)
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pp. 107-123
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Keyword(s):
2004 ◽
Vol 27
(6)
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pp. 1017-1027
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Keyword(s):
1965 ◽
Vol 9
(2)
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pp. 112-119
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