Temat: fractional-order differential equation - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Analysis of the transient state in RC_α circuit at periodic voltage excitation
Autorzy:: Jakubowska, A.
Walczak, J.
Powiązania:: https://bibliotekanauki.pl/articles/97447.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:: fractional-order differential equation
transient state
supercapacitor
Opis:: The paper describes the results of analysis of the transient state in a simple series RC_α circuit with supercapacitor. A simple fractional-order supercapacitor model has been introduced to the analysis. The considered system has been supplied by a periodic voltage source. Selected results of the simulation studies, carried out in Mathematica, Maple and PSpice have also been presented.
Źródło:: Computer Applications in Electrical Engineering; 2015, 13; 42-50
1508-4248
Pojawia się w:: Computer Applications in Electrical Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 2.

Tytuł:: Analysis of the transient state in a circuit with supercapacitor
Autorzy:: Jakubowska, A.
Walczak, J.
Powiązania:: https://bibliotekanauki.pl/articles/377512.pdf
Data publikacji:: 2015
Wydawca:: Politechnika Poznańska. Wydawnictwo Politechniki Poznańskiej
Tematy:: fractional-order differential equation
first-order RCα circuit
supercapacitor
Opis:: The paper presents an analysis of the transient state in a simple circuit of RCα class with a supercapacitor. The behavior of supercapacitors differs from that of classic capacitors, which influences voltage and current waveforms in circuits containing them. The waveforms are described by relations of fractional-order integral-differential calculus. A simple fractional-order supercapacitor model, including its series internal resistance, has been assumed for the analysis. The obtained solution of the fractional-order differential equation describing the examined circuit is presented. The impact of different values of the parameter α on the solution has been analyzed too. The derived relations are illustrated by simulation examples for the circuit powered by a DC voltage source. This situation describes the supercapacitor charging process. Its charging time depends mainly on the value of fractional-order parameter α of the supercapacitor.
Źródło:: Poznan University of Technology Academic Journals. Electrical Engineering; 2015, 81; 71-77
1897-0737
Pojawia się w:: Poznan University of Technology Academic Journals. Electrical Engineering
Dostawca treści:: Biblioteka Nauki

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Skocz do pozycji: 3.

Tytuł:: Fixed terminal time fractional optimal control problem for discrete time singular system
Autorzy:: Chiranjeevi, Tirumalasetty
Devarapalli, Ramesh
Babu, Naladi Ram
Vakkapatla, Kiran Babu
Rao, R. Gowri Sankara
Garcìa Màrquez, Fausto Pedro
Powiązania:: https://bibliotekanauki.pl/articles/2175112.pdf
Data publikacji:: 2022
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: fractional order differential equation
discrete time singular system
fractional derivative
linear quadratic optimal control problem
Opis:: This paper presents the formulation and numerical simulation for linear quadratic optimal control problem (LQOCP) of free terminal state and fixed terminal time fractional order discrete time singular system (FODSS). System dynamics is expressed in terms of Riemann-Liouville fractional derivative (RLFD), and performance index (PI) in terms of state and costate. Because of its complexity, finding analytical and numerical solutions to singular system (SS) is difficult. As a result, we use coordinate transformation to convert FODSS to its corresponding fractional order discrete time nonsingular system (FODNSS). After that, we obtain the necessary conditions by employing a Hamiltonian approach. The relevant conditions are solved using the general solution approach. For the analysis of formulation and solution algorithm, a numerical example is illustrated. Results are obtained for various values. According to state of the art, this is the first time that a formulation and numerical simulation of free terminal state and fixed terminal time optimal control problem (OCP) of FODSS is presented.
Źródło:: Archives of Control Sciences; 2022, 32, 3; 489--506
1230-2384
Pojawia się w:: Archives of Control Sciences
Dostawca treści:: Biblioteka Nauki

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