On Stability of Perturbed Nonlinear Switched Systems with Adaptive Reinforcement Learning

Autor: Phuong Nam Dao, Hong Quang Nguyen, Minh-Duc Ngo, Seon-Ju Ahn
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Energies, Vol 13, Iss 19, p 5069 (2020)
Druh dokumentu: article
ISSN: 13195069
1996-1073
DOI: 10.3390/en13195069
Popis: In this paper, a tracking control approach is developed based on an adaptive reinforcement learning algorithm with a bounded cost function for perturbed nonlinear switched systems, which represent a useful framework for modelling these converters, such as DC–DC converter, multi-level converter, etc. An optimal control method is derived for nominal systems to solve the tracking control problem, which results in solving a Hamilton–Jacobi–Bellman (HJB) equation. It is shown that the optimal controller obtained by solving the HJB equation can stabilize the perturbed nonlinear switched systems. To develop a solution to the translated HJB equation, the proposed neural networks consider the training technique obtaining the minimization of square of Bellman residual error in critic term due to the description of Hamilton function. Theoretical analysis shows that all the closed-loop system signals are uniformly ultimately bounded (UUB) and the proposed controller converges to optimal control law. The simulation results of two situations demonstrate the effectiveness of the proposed controller.
Databáze: Directory of Open Access Journals
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