In this paper, the noncooperative control problem of onboard pulsed power load is formulated as a two-player zero-sum game. One player is the optimal controller which is designed to optimize a predefined cost function. The other player is the disturbance that represents the overall damping effect of the system, including that of unmodeled system dynamics. Neuro-dynamic programming based control design is developed to solve the nonlinear optimal control problem under disturbance. The neural network based control algorithm can achieve the near-optimal control without the acknowledgment of system dynamics. In addition, the control design can relax the requirements for initial admissible control conditions and predetermined control references. The effectiveness of the proposed algorithm is demonstrated through the real-time simulations on both simplified and detailed shipboard power system models.
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Duan et al. (2019) studied this question.
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