Temat: fractional order systems - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Obserwatory dodatnich liniowych układów dyskretnych ułamkowego rzędu
Observers for positive linear discrete-time fractional order systemss
Autorzy:: Kociszewski, R.
Powiązania:: https://bibliotekanauki.pl/articles/275535.pdf
Data publikacji:: 2010
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: układy ułamkowego rzędu
fractional order systems
Opis:: W pracy rozpatrzono problem syntezy obserwatorów dodatnich liniowych układów dyskretnych ułamkowego rzędu. Wykorzystując podejście oparte na liniowych nierównościach macierzowych (LMI) sformułowano warunki istnienia dodatniego asymptotycznie stabilnego obserwatora. Podano warunki konieczne i wystarczające obserwowalności dodatnich dyskretnych układów ułamkowego rzędu. Rozważania zilustrowano przykładem symulacyjnym.
The paper is devoted to observer synthesis for linear positive fractional discrete-time systems. The problem of finding a nonnegative gain matrix of the observer such that the observer is positive and asymptotically stable is formulated and solved by the use of LMI method. Necessary and sufficient conditions for the observability for linear positive fractional discrete-time systems are formulated and proved. The proposed approach to computation the nonnegative gain matrix is illustrated by numerical example.
Źródło:: Pomiary Automatyka Robotyka; 2010, 14, 2; 492-500
1427-9126
Pojawia się w:: Pomiary Automatyka Robotyka
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Approximation method for a fractional order transfer function with zero and pole
Autorzy:: Oprzędkiewicz, K.
Powiązania:: https://bibliotekanauki.pl/articles/229961.pdf
Data publikacji:: 2014
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order systems
fractional order transfer function
Charef approximation
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.
Źródło:: Archives of Control Sciences; 2014, 24, 4; 447-463
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Finite length triple estimation algorithm and its application to gyroscope mems noise identification
Autorzy:: Macias, Michał
Sierociuk, Dominik
Powiązania:: https://bibliotekanauki.pl/articles/2204616.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: fractional calculus
fractional Kalman filter
estimation of fractional order systems
fractional order noise
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.
Źródło:: Acta Mechanica et Automatica; 2023, 17, 2; 219--229
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 4.

Tytuł:: Fractional order, state space model of the temperature field in the pcb plate
Autorzy:: Oprzędkiewicz, Krzysztof
Mitkowski, Wojciech
Rosół, Maciej
Powiązania:: https://bibliotekanauki.pl/articles/2204627.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: fractional order systems
fractional order state equation
temperature field
heat transfer
thermal camera
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.
Źródło:: Acta Mechanica et Automatica; 2023, 17, 2; 180--187
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 5.

Tytuł:: Fixed final time and free final state optimal control problem for fractional dynamic systems – linear quadratic discrete-time case
Autorzy:: Dzieliński, A.
Czyronis, P. M.
Powiązania:: https://bibliotekanauki.pl/articles/201358.pdf
Data publikacji:: 2013
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order systems
discrete-time systems
optimal control
linear quadratic performance index
Opis:: The optimization problem for fractional discrete-time systems with a quadratic performance index has been formulated and solved. The case of fixed final time and a free final state has been considered. A method for numerical computation of optimization problems has been presented. The presented method is a generalization of the well-known method for discrete-time systems of integer order. The efficiency of the method has been demonstrated on numerical examples and illustrated by graphs. Graphs also show the differences between the fractional and classical (standard) systems theory. Results for other cases of the fractional system order (coefficient ) and not illustrated with numerical examples have been obtained through a computer algorithm written for this purpose.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2013, 61, 3; 681-690
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 6.

Tytuł:: Equivalent diagrams of fractional order elements
Autorzy:: Różowicz, Sebastian
Włodarczyk, Maciej
Zawadzki, Andrzej
Powiązania:: https://bibliotekanauki.pl/articles/27324011.pdf
Data publikacji:: 2023
Wydawca:: Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:: fractional order derivative
Laplace transform for fractional order systems
CFE method
circuit synthesis
numerical experiments
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.
Źródło:: Archives of Control Sciences; 2023, 33, 4; 801--827
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 7.

Tytuł:: An output sensitivity problem for a class of fractional order discrete-time linear systems
Autorzy:: Benfatah, Youssef
El-Bhih, Amine
Rachik, Mostafa
Lafif, Marouane
Powiązania:: https://bibliotekanauki.pl/articles/2106242.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
Tematy:: fractional order systems
output sensitivity
discrete time systems
maximal output set admissible uncertainty
Opis:: Consider the linear discrete-time fractional order systems with uncertainty on the initial state {Δαxi+1=Axi+Bui, i≥0x0=τ0+τ̂0∈Rn, τ̂0∈Ωyi=Cxi, i≥0}, where A,B and C are appropriate matrices, x0 is the initial state, yi is the signal output, α the order of the derivative, τ0 and τ̂0 are the known and unknown part of x0, respectively, ui=Kxi is feedback control and Ω⊂Rn is a polytope convex of vertices w1,w2,...,wp. According to the Krein–Milman theorem, we suppose that τ̂0=Σ pj=1αjwj for some unknown coefficients α1≥0,...,αp≥0 such that Σ pj=1αj=1. In this paper, the fractional derivative is defined in the Grünwald–Letnikov sense. We investigate the charac-terisation of the set χ(τ̂0,ϵ) of all possible gain matrix K that makes the system insensitive to the unknown part τ̂0, which means χ(τ̂0,ϵ)={K∈Rm×n / ∥∂yi∂αj∥≤ϵ, ∀j=1,...,p,∀i≥0}, where the inequality ∥∂yi∂αj∥≤ϵ showing the sensitivity of yi relative-ly to uncertainties {αj}j=1p will not achieve the specified threshold ϵ>0. We establish, under certain hypothesis, the finite determination of χ(τ̂0,ϵ) and we propose an algorithmic approach to made explicit characterisation of such set.
Źródło:: Acta Mechanica et Automatica; 2021, 15, 4; 227--235
1898-4088
2300-5319
Pojawia się w:: Acta Mechanica et Automatica
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 8.

Tytuł:: Cluster consensus of general fractional-order nonlinear multi agent systems via adaptive sliding mode controller
Autorzy:: Yaghoubi, Zahra
Talebi, Heidar Ali
Powiązania:: https://bibliotekanauki.pl/articles/230002.pdf
Data publikacji:: 2019
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: nonlinear multi agent systems
cluster consensus
fractional-order systems
adaptive sliding mode controller
Opis:: In this paper cluster consensus is investigated for general fractional-order multi agent systems with nonlinear dynamics via adaptive sliding mode controller. First, cluster consensus for fractional-order nonlinear multi agent systems with general form is investigated. Then, cluster consensus for the fractional-order nonlinear multi agent systems with first-order and general form dynamics is investigated by using adaptive sliding mode controller. Sufficient conditions for achieving cluster consensus for general fractional-order nonlinear multi agent systems are proved based on algebraic graph theory, Lyapunov stability theorem and Mittag-Leffler function. Finally, simulation examples are presented for first-order and general form multi agent systems, i.e. a single-link flexible joint manipulator which demonstrates the efficiency of the proposed adaptive controller.
Źródło:: Archives of Control Sciences; 2019, 29, 4; 643-665
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 9.

Tytuł:: Contribution of New Parameter Inverses to Robustification of Fractional-Order Perfect Control for LTI MIMO Discrete-Time State-Space Systems
Autorzy:: Wach, Ł.
Hunek, W. P.
Powiązania:: https://bibliotekanauki.pl/articles/385005.pdf
Data publikacji:: 2016
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: LTI MIMO fractional-order systems
perfect control
inverses of nonsquare matrices
stability
Opis:: The paper presents results of application of various right inverses to fractional-order discrete-time perfect control in terms of improving its stability and robustness. For that reason the newly introduced σ-inverse and H-inverse are applied finally to obtain the mentioned above control strategy strictly dedicated to LTI MIMO nonsquare systems described by state-space framework. It is highlighted that parameter σ-inverse and H-inverse with different so called ‘degrees of freedom’ outperform the typical minimum-norm right T-inverse. Moreover, this new approach deals with the same class of problems concerning integer-order systems. The simulation studies performed in Matlab/Simulink environment confirm high potential of proposed here method.
Źródło:: Journal of Automation Mobile Robotics and Intelligent Systems; 2016, 10, 3; 29-33
1897-8649
2080-2145
Pojawia się w:: Journal of Automation Mobile Robotics and Intelligent Systems
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 10.

Tytuł:: Odporna stabilność rodziny wielomianów niecałkowitego stopnia o współczynnikach wieloliniowo zależnych od niepewnych parametrów
Robust stability of familly of fractional degree polynomials with coeficients multilinary dependent on uncertain parameters
Autorzy:: Kalinowski, T.
Busłowicz, M.
Powiązania:: https://bibliotekanauki.pl/articles/277397.pdf
Data publikacji:: 2011
Wydawca:: Sieć Badawcza Łukasiewicz - Przemysłowy Instytut Automatyki i Pomiarów
Tematy:: liniowe układy niecałkowitego rzędu
odporna stabilność
linear fractional order systems
robust stability
Opis:: W pracy rozpatrzono problem odpornej stabilności rodzin wielomianów charakterystycznych niecałkowitego stopnia, których współczynniki zależą wieloliniowo od niepewnych parametrów. Podano komputerowe metody badania odpornej stabilności. Proponowane metody bazują na warunku wykluczenia zera i na twierdzeniu o odwzorowaniu, znanych z teorii odpornej stabilności rodzin wielomianów całkowitych stopni. Rozważania zilustrowano przykładem.
The paper considers the problem of robust stability of families of fractional degree characteristic polynomials with coefficients multilinearly dependent on uncertain parameters. Computer methods for checking of robust stability are given. The methods proposed are based on the Zero Exclusion Condition and on the Mapping Theorem known from the theory of robust stability of families of natural degree polynomials. The considerations are illustrated by example.
Źródło:: Pomiary Automatyka Robotyka; 2011, 15, 2; 576-585
1427-9126
Pojawia się w:: Pomiary Automatyka Robotyka
Dostawca treści:: Biblioteka Nauki

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