Temat: fractional order - Prolib Integro

Skocz do pozycji: 1.

Tytuł:: PLC implementation of fractional PI controller in positioning of electrohydraulic servodrive
Autorzy:: Rybarczyk, D.
Tematy:: fractional order controller
electrohydraulic drive
electrohydraulic servovalve
fractional order calculus; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/206664.pdf Link otwiera się w nowym oknie
Opis:: The article describes the implementation of fractional order PI controller with the Programmable Logic Controller (PLC). The control system proposed is used for positioning of an electrohydraulic drive with Bosch Rexroth servo valve. The controller is based on PLC, working under real time operating system Automation Runtime. User interface is equipped with the touch panel of Power Panel 500 type. In the ﬁrst part of the paper the fractional order calculus theory is introduced. In addition, some examples of fractional controller implementations in diﬀerent kinds of objects are presented. The subsequent section focuses on author’s own research. The Oustaloup’s method description is recalled along with its computer implementation. Further, the impact of ﬁnite order of the approximation function is veriﬁed. The article includes the description of test stand structure, code generation and implementation of PI controller on the dedicated PLC.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Remarks on five equivalent forms of the fractional – order backward – difference
Autorzy:: Ostalczyk, P.
Tematy:: discrete systems
fractional order backward difference
fractional - order backward sum; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/202441.pdf Link otwiera się w nowym oknie
Opis:: In this paper a fractional-order backward-difference/sum (FOBD/S) equivalent formulae are considered. From the Gr¨unwald- Letnikov (GL - FOBD) definition formula and its Horner equivalent form one derives the Riemann-Liouville FOBD (RL - FOBD). Also the Caputo and polynomial-like forms are defined. All forms may be useful in real-time calculations (in the evaluation of digital control strategies) due to the reduction of fractional orders. The investigations are illustrated by a numerical example.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Approximation method for a fractional order transfer function with zero and pole
Autorzy:: Oprzędkiewicz, K.
Tematy:: fractional order systems
fractional order transfer function
Charef approximation; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/229961.pdf Link otwiera się w nowym oknie
Opis:: The paper presents an approximation method for elementary fractional order transfer function containing both pole and zero. This class of transfer functions can be applied for example to build model - based special control algorithms. The proposed method bases on Charef approximation. The problem of cancelation pole by zero with useful conditions was considered, the accuracy discussion with the use of interval approach was done also. Results were depicted by examples.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Finite length triple estimation algorithm and its application to gyroscope mems noise identification
Autorzy:: Macias, Michał
Sierociuk, Dominik
Tematy:: fractional calculus
fractional Kalman filter
estimation of fractional order systems
fractional order noise; Pokaż więcej
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Powiązania:: https://bibliotekanauki.pl/articles/2204616.pdf Link otwiera się w nowym oknie
Opis:: The noises associated with MEMS measurements can significantly impact their accuracy. The noises characterised by random walk and bias instability errors strictly depend on temperature effects that are difficult to specify during direct measurements. Therefore, the paper aims to estimate the fractional noise dynamics of the stationary MEMS gyroscope based on finite length triple estimation algorithm (FLTEA). The paper deals with the state, order and parameter estimation of fractional order noises originating from the MEMS gyroscope, being part of the popular Inertial Measurement Unit denoted as SparkFun MPU9250. The noise measurements from , and gyroscope axes are identified using a modified triple estimation algorithm (TEA) with finite approximation length. The TEA allows a simultaneous estimation of the state, order and parameter of fractional order systems. Moreover, as it is well-known that the number of samples in fractional difference approximations plays a key role, we try to show the influence of applying the TEA with various approximation length constraints on final estimation results. The validation of finite length TEA in the noise estimation process coming from MEMS gyroscope has been conducted for implementation length reduction achieving 50% of samples needed to estimate the noise with no implementation losses. Additionally, the capabilities of modified TEA in the analysis of fractional constant and variable order systems are confirmed in several numerical examples.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Method of identification of equivalent parameters of the fractional-order transformer
Autorzy:: Jakubowska-Ciszek, Agnieszka
Walczak, Janusz
Tematy:: fractional-order mutual inductance
fractional-order parameters identification
phase resonance; Pokaż więcej
Wydawca:: Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Powiązania:: https://bibliotekanauki.pl/articles/377133.pdf Link otwiera się w nowym oknie
Opis:: The paper presents a method for identifying the parameters Lβ1, β1, Lβ2, β2, Mγ, γ of a fractional-order transformer. This method is based on the measurement of the phase resonance frequency in a few systems containing: the investigated fractional-order transformer and two standard capacitors. The dependencies allowing the determination of the fractional-order transformer parameters have been given, on the basis of the described measurements. The obtained results are illustrated by an example.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Fractional order, state space model of the temperature field in the pcb plate
Autorzy:: Oprzędkiewicz, Krzysztof
Mitkowski, Wojciech
Rosół, Maciej
Tematy:: fractional order systems
fractional order state equation
temperature field
heat transfer
thermal camera; Pokaż więcej
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Powiązania:: https://bibliotekanauki.pl/articles/2204627.pdf Link otwiera się w nowym oknie
Opis:: In the paper the fractional order, state space model of a temperature field in a two-dimensional metallic surface is addressed. The proposed model is the two dimensional generalization of the one dimensional, fractional order, state space of model of the heat transfer process. It uses fractional derivatives along time and length. The proposed model assures better accuracy with lower order than models using integer order derivatives. Elementary properties of the proposed model are analysed. Theoretical results are experimentally verifed using data from industrial thermal camera.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: The use of fractional order operators in modelling of RC electrical systems
Autorzy:: Ambroziak, L.
Lewoń, D.
Pawluszewicz, E.
Tematy:: fractional order operators
ultracapacitor
identification; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Instytut Badań Systemowych PAN
Powiązania:: https://bibliotekanauki.pl/articles/970062.pdf Link otwiera się w nowym oknie
Opis:: The present study concerns the analysis of using the integro-diﬀerential fractional operators in the process of modelling of electrical systems. As the object of study, the RC circuit with the ultracapacitor was used. A mathematical model of the super capacitor has been introduced, based on the integro-diﬀerential fractional order operator. Throughout the modelling it was assumed that the ultracapacitor was ideal. The main goal of the work was to carry out the experimental tests. Static and dynamic characteristics of the RC circuit with the ultracapacitor were determined with a prepared laboratory test rig. The obtained experimental results were compared with simulation tests of the ultracapacitor dynamics. The analysis, modelling and the obtained results allowed for the assessment of applicability of the fractional order operators in modelling of electrical systems. The proposed fractional order model yielded more precise description of dynamic properties of the system.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Formulation of the simple Markovian model using fractional calculus approach and its application to analysis of queue behavior of severe patients
Autorzy:: Dhar, Soma
Mahanta, Lipi B.
Das, Kishore Kumar
Tematy:: fractional order
arrival rate
patients
fractional calculus; Pokaż więcej
Wydawca:: Główny Urząd Statystyczny
Powiązania:: https://bibliotekanauki.pl/articles/1359228.pdf Link otwiera się w nowym oknie
Opis:: In this paper, we introduce a fractional order of a simple Markovian model where the arrival rate of the patient is Poisson, i.e. independent of the patient size. Fraction is obtained by replacing the first order time derivative in the difference differential equations which govern the probability law of the process with the Mittag-Leffler function. We derive the probability distribution of the number N(t) of patients suffering from severe disease at an arbitrary time t. We also obtain the mean size (number) of the patients suffering from severe disease waiting for service at any given time t, in the form of E ν 0.5,0.5 (t), for different fractional values of server activity status, ν = 1,0.95,0.90 and for arrival rates α = β = 0.5. A numerical example is also evaluated and analysed by using the simple Markovian model with the help of simulation techniques.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Equivalent diagrams of fractional order elements
Autorzy:: Różowicz, Sebastian
Włodarczyk, Maciej
Zawadzki, Andrzej
Tematy:: fractional order derivative
Laplace transform for fractional order systems
CFE method
circuit synthesis
numerical experiments; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Powiązania:: https://bibliotekanauki.pl/articles/27324011.pdf Link otwiera się w nowym oknie
Opis:: This paper presents equivalent impedance and operator admittance systems for fractional order elements. Presented models of fractional order elements of the type: sαL,sub>α and 1/sαCsub>α, (0 α 1) were obtained using the Laplace transform based on the expansion of the factor sign to an infinite fraction with varying degrees of accuracy – the continued fraction expansion method (CFE). Then circuit synthesis methods were applied. As a result, equivalent circuit diagrams of fractional order elements were obtained. The obtained equivalent schemes consist both of classical RLC elements, as well as active elements built based on operational amplifiers. Numerical experiments were conducted for the constructed models, presenting responses to selected input signals.
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Current mode fractional order filters using VDTAs with Grounded capacitors
Autorzy:: Prasad, Dinesh
Kumar, Mayank
Akram, Md Waseem
Tematy:: VDTAs
fractional order and filter; Pokaż więcej
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Powiązania:: https://bibliotekanauki.pl/articles/226881.pdf Link otwiera się w nowym oknie
Opis:: In this work, the design of current mode Fractional order filter using VDTAs (Voltage differencing trans-conductance amplifier) as an active element with grounded capacitors has been proposed. The approximate transfer functions of low and high pass filters of fractional order on the basis of the integer order transfer has been shown and the form of those functions of filters is also implemented using VDTA as an active building block. In this work, filters of the different sequence have been realized. The frequency domain simulation results of the proposed filters are obtained on Matlab and PSPICE with TSMC CMOS 180 nm technology parameters. Stability and sensitivity is also verified.
Dostawca treści:: Biblioteka Nauki

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