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An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem
Algorithms, 16 (2023), 1; 1-15. https://doi.org/10.3390/a16010048
Milić, Vladimir; Kasać, Josip; Lukas, Marin

Institucijski repozitorij: Repozitorij Fakulteta strojarstva i brodogradnje Sveučilišta u Zagrebu

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Milić, V., Kasać, J. i Lukas, M. (2023). An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem. Algorithms, 16. (1), 1-15. doi: 10.3390/a16010048

Milić, Vladimir, et al. "An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem." Algorithms, vol. 16, br. 1, 2023, str. 1-15. https://doi.org/10.3390/a16010048

Milić, Vladimir, Josip Kasać i Marin Lukas. "An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem." Algorithms 16, br. 1 (2023): 1-15. https://doi.org/10.3390/a16010048

Milić, V., Kasać, J. i Lukas, M. (2023) 'An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem', Algorithms, 16(1), str. 1-15. doi: 10.3390/a16010048

Milić V, Kasać J, Lukas M. An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem. Algorithms [Internet]. 10.01.2023. [pristupljeno 06.09.2024.];16(1):1-15. doi: 10.3390/a16010048

V. Milić, J. Kasać i M. Lukas, "An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem", Algorithms, vol. 16, br. 1, str. 1-15, Siječanj 2023. [Online]. Dostupno na: https://urn.nsk.hr/urn:nbn:hr:235:790750. [Citirano: 06.09.2024.]

Za citiranje koristite ovu mrežnu adresu: https://urn.nsk.hr/urn:nbn:hr:235:790750
Podaci o radu
Naslov (engleski)An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem
AutorVladimir Milić
AutorJosip Kasać
AutorMarin Lukas
Autorova ustanovaSveučilište u Zagrebu
Fakultet strojarstva i brodogradnje
Znanstveno / umjetničko
područje, polje i grana		TEHNIČKE ZNANOSTI
Strojarstvo
Sažetak (engleski)
This paper presents an approach for the solution of a zero-sum differential game associated with a nonlinear state-feedback H∞ control problem. Instead of using the approximation methods for solving the corresponding Hamilton–Jacobi–Isaacs (HJI) partial differential equation, we propose an algorithm that calculates the explicit inputs to the dynamic system by directly performing minimization with simultaneous maximization of the same objective function. In order to achieve numerical robustness and stability, the proposed algorithm uses: quasi-Newton method, conjugate gradient method, line search method with Wolfe conditions, Adams approximation method for time discretization and complex-step calculation of derivatives. The algorithm is evaluated in computer simulations on examples of first- and second-order nonlinear systems with analytical solutions of H∞ control problem.
Jezikengleski
Vrsta publikacijeZnanstveni rad - Izvorni znanstveni rad
Status objaveObjavljen
Vrsta recenzijeRecenziran - međunarodna recenzija
Verzija publikacijeObjavljena verzija rada (izdavačev PDF)
Naslov časopisaAlgorithms
Brojčani podacivol. 16, br. 1, str. 1-15, 48
BPC0 EUR
e-ISSN1999-4893
DOIhttps://doi.org/10.3390/a16010048
URN:NBNurn:nbn:hr:235:790750
Datum objave publikacije2023-01-10
URL dokumentahttps://www.mdpi.com/1999-4893/16/1/48
Vrsta resursaTekst
Prava pristupaOtvoreni pristup
Uvjeti korištenjaIkona licence Zaštićeno autorskim pravom.
Datum i vrijeme pohrane2024-07-17 14:46:55