Improved Neural Network and the Pontryagin's minimum Principle for Solve Fuzzy Optimal Control Problems
Subject Areas : International Journal of Industrial Mathematics
1 - Department of Mathematics, Science and Research Branch, Islamic Azad University, Hamedan, Iran
2 - Department of Applied Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran.
Keywords: FOC problem, Pontryagin minimum principle, BFGs method., IMLP networks,
Abstract :
In this paper, a novel and practical approach are proposed to solve the fuzzy optimal control (FOC) using an improved multi-layer perceptron (IMLP) network along with the Pontryagin minimum principle (PMP). Here, it is worthwhile to mention that in the fuzzy Hamilton function, instead of functions of control and trajectory and the Lagrange multipliers, the approximate solutions are replaced based on the IMLP neural network, which is a Three-layer type.