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    Wyświetlanie 1-6 z 6
    Tytuł:
    On optimal control problem subject to fractional order discrete time singular systems
    Autorzy:
    Chiranjeevi, Tirumalasetty
    Biswas, Raj Kumar
    Devarapalli, Ramesh
    Babu, Naladi Ram
    García Márquez, Fausto Pedro
    Powiązania:
    https://bibliotekanauki.pl/articles/2083465.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional optimal control problem
    discrete time singular system
    fractional derivative
    Hamiltonian technique
    Opis:
    In this work, we present optimal control formulation and numerical algorithm for fractional order discrete time singular system (DTSS) for fixed terminal state and fixed terminal time endpoint condition. The performance index (PI) is in quadratic form, and the system dynamics is in the sense of Riemann-Liouville fractional derivative (RLFD). A coordinate transformation is used to convert the fractional-order DTSS into its equivalent non-singular form, and then the optimal control problem (OCP) is formulated. The Hamiltonian technique is used to derive the necessary conditions. A solution algorithm is presented for solving the OCP. To validate the formulation and the solution algorithm, an example for fixed terminal state and fixed terminal time case is presented.
    Źródło:
    Archives of Control Sciences; 2021, 31, 4; 849-863
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    On the existence of optimal consensus control for the fractional Cucker-Smale model
    Autorzy:
    Almeida, R.
    Kamocki, R.
    Malinowska, A. B.
    Odzijewicz, T.
    Powiązania:
    https://bibliotekanauki.pl/articles/1409211.pdf
    Data publikacji:
    2021
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    fractional calculus
    fractional differential systems
    flocking model
    consensus
    optimal control
    Opis:
    This paper addresses the nonlinear Cucker-Smale optimal control problem under the interplay of memory effect. The aforementioned effect is included by employing the Caputo fractional derivative in the equation representing the velocity of agents. Sufficient conditions for the existence of solutions to the considered problem are proved and the analysis of some particular problems is illustrated by two numerical examples.
    Źródło:
    Archives of Control Sciences; 2020, 30, 4; 625-651
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Optimal control problems with a fixed terminal time in linear fractional-order systems
    Autorzy:
    Gomoyunov, M. I.
    Powiązania:
    https://bibliotekanauki.pl/articles/1403685.pdf
    Data publikacji:
    2020
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    optimal control
    fractional derivatives
    linear systems
    open-loop control
    feedback control
    reduction
    Opis:
    The paper deals with an optimal control problem in a dynamical system described by a linear differential equation with the Caputo fractional derivative. The goal of control is to minimize a Bolza-type cost functional, which consists of two terms: the first one evaluates the state of the system at a fixed terminal time, and the second one is an integral evaluation of the control on the whole time interval. In order to solve this problem, we propose to reduce it to some auxiliary optimal control problem in a dynamical system described by a first-order ordinary differential equation. The reduction is based on the representation formula for solutions to linear fractional differential equations and is performed by some linear transformation, which is called the informational image of a position of the original system and can be treated as a special prediction of a motion of this system at the terminal time. A connection between the original and auxiliary problems is established for both open-loop and feedback (closed-loop) controls. The results obtained in the paper are illustrated by examples.
    Źródło:
    Archives of Control Sciences; 2020, 30, 4; 721-744
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    Tytuł:
    Existence of optimal control for multi-order fractional optimal control problems
    Autorzy:
    Kamocki, Rafał
    Powiązania:
    https://bibliotekanauki.pl/articles/2134888.pdf
    Data publikacji:
    2022
    Wydawca:
    Polska Akademia Nauk. Czytelnia Czasopism PAN
    Tematy:
    existence of optimal control
    multi-order fractional control system
    lower closure theorem
    Opis:
    In this article we focus on optimal control problems involving a nonlinear fractional control system of different orders with Caputo derivatives, associated to a Lagrange cost functional. Based on a lower closure theorem for orientor fields combined with Filippov’s approach, we derive an existence result for at least one optimal solution for such a problem.
    Źródło:
    Archives of Control Sciences; 2022, 32, 2; 279--303
    1230-2384
    Pojawia się w:
    Archives of Control Sciences
    Dostawca treści:
    Biblioteka Nauki
    Artykuł
    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
    Artykuł
    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
    Artykuł
      Wyświetlanie 1-6 z 6

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