  We develop a data-driven, model-free approach for the optimal control of the
dynamical system. The proposed approach relies on the Deep Neural Network (DNN)
based learning of Koopman operator for the purpose of control. In particular,
DNN is employed for the data-driven identification of basis function used in
the linear lifting of nonlinear control system dynamics. The controller
synthesis is purely data-driven and does not rely on a priori domain knowledge.
The OpenAI Gym environment, employed for Reinforcement Learning-based control
design, is used for data generation and learning of Koopman operator in control
setting. The method is applied to two classic dynamical systems on OpenAI Gym
environment to demonstrate the capability.
