Adaptive dynamic programming algorithm for uncertain nonlinear switched systems

Dao Phuong Nam, Nguyen Hong Quang, Nguyen Nhat Tung, Tran Thi Hai Yen

Abstract


This paper studies an approximate dynamic programming (ADP) strategy of a group of nonlinear switched systems, where the external disturbances are considered. The neural network (NN) technique is regarded to estimate the unknown part of actor as well as critic to deal with the corresponding nominal system. The training technique is simul-taneously carried out based on the solution of minimizing the square error Hamilton function. The closed system’s tracking error is analyzed to converge to an attraction region of origin point with the uniformly ultimately bounded (UUB) description. The simulation results are implemented to determine the effectiveness of the ADP based controller.


Keywords


Adaptive dynamic programming, HJB equation, Lyapunov, Neural networksstability, Nonlinear switched systems

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DOI: http://doi.org/10.11591/ijpeds.v12.i1.pp551-557

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