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Can I read On-line estimation of the Caputo fractional derivatives with application to PIμDν control on EtoBox?
On-line estimation of the Caputo fractional derivatives with application to PIμDν control by Ibrir, Salim (author) is a Engineering article available to read on EtoBox.
What is On-line estimation of the Caputo fractional derivatives with application to PIμDν control about?
This paper proposes new procedures for calculation of the Caputo derivative of model-free measured signals. The evaluation of the non-integer derivative is realized by integrating a set of ordinary differential equations and convolution. The derivative of order ν (0 < ν < 2) is seen as an output of a linear-time-varying system driven by a timedependent known signal. Two procedures are proposed depending on the variation range of the non-integer differentiation order. The proposed formulations facilitate the estimation of the fractional derivatives when they are associated to dynamical systems represented by integerorder differential equations. The efficiency of the developed numerical procedures are validated and compared to exact fractional derivatives for different values of ν. It is shown that P I μ D ν controllers can be easily realized by system augmentation and convolution. The advantages, the straightforwardness and the main features of the proposed design are given.
Who reads On-line estimation of the Caputo fractional derivatives with application to PIμDν control?
It is typically read by researchers, students, and practitioners in Engineering.
- Author
- Ibrir, Salim (author)
- Publisher
- Elsevier BV
- Published
- 2020
- Language
- EN
- Field
- Engineering (Physical Sciences)