Wiktor Malesza

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In this paper, a switching strategy for recursive fractional variable-order derivative is proposed. This strategy can be interpreted as an explanation of order switching mechanism for this particular type of derivative. Additionally, important properties of variable fractional order derivatives, required for prove the main result, are introduced both in a(More)
Abstract—The paper presents switching strategy that is equivalent to one type of variable order derivative definitions. The numerical scheme, based on matrix approach, for this type of the definition is also introduced. Using this approach the identity of the switching strategy and considered definition is derived. The switching scheme can be used as an(More)
In the paper, an analytical description in the continuous-time domain of additive-switching scheme for fractional variable-order differ-integrals will be presented. Moreover, composition property of variable-order differ-integrals realized by means of additive-switching scheme with constant-order differ-integral will be investigated. Analog realization(More)
In the paper, a novel practical analog modeling of multiple-switching fractional order systems based on recursive fractional variable order integrals, is introduced. Presented circuit, based on domino ladder approximation of half order impedance, allows to multiple-switching between orders 0.5 and 1. Moreover, numerical scheme for solving variable order(More)
The paper is devoted to variable order estimation process when measurements are obtained in two different ways: directly and by lossy network. Since the problem of fractional order estimation is highly nonlinear, dual estimation algorithm based on Unscented Fractional Order Kalman filter has been used. In dual estimation process, state variable and order(More)
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