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6. Modelling and analysis of multivariable fractional-order transfer function matrices by Dingyü Xue is a book available to read on EtoBox.

What is 6. Modelling and analysis of multivariable fractional-order transfer function matrices about?

Consider the linear fractional-order system shown in (4.1). If the initial values of the input signal u(t) and output y(t) and their derivatives are all zero, with Laplace transform, the fractional-order transfer function can be established. Definition 6.1. A typical single-input single-output fractional-order transfer function with constant delay can be expressed asIt can be seen that the fractional-order transfer function can be described by the ratio of two pseudo-polynomials with a delay constant T.Compared with the integer-order transfer functions, apart from the numerator and denominator coefficients, the orders should also be declared. Therefore, normally four vectors and a delay constant can be used to describe uniquely the fractional-order transfer function model in (6.1), simply denoted as (a, η, b, γ, T).For multivariable fractional-order systems, like in integer-order systems, an FOTF matrix can be considered as the standard model.

Author

Dingyü Xue

Publisher

de Gruyter GmbH, Walter

Published

2017

Language

EN

ISBN

9783110497977

Subjects

Mathematics, Engineering, Science