Pregled bibliografske jedinice broj: 1244166
An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem
An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem // Algorithms, 16 (2023), 1; 48, 15 doi:10.3390/a16010048 (međunarodna recenzija, članak, znanstveni)
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Naslov
An Algorithm for Solving Zero-Sum Differential Game Related to the Nonlinear H∞ Control Problem
Autori
Milić, Vladimir ; Kasać, Josip ; Lukas, Marin
Izvornik
Algorithms (1999-4893) 16
(2023), 1;
48, 15
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
H∞ control ; zero-sum differential game ; conjugate gradient method ; quasi-Newton method ; complex-step method
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Strojarstvo
POVEZANOST RADA
Projekti:
--KK.01.1.1.04.0092 - Istraživanje i razvoj specijaliziranih multirotornih bespilotnih letjelica (Piljek, Petar; Kotarski, Denis; Belobaba, Sanja) ( CroRIS)
