This paper is concerned with the tracking control problem for a class of
networked systems subject to denial-of-service (DoS) attacks using
reinforcement learning methods. Taking the effects of DoS attacks into
consideration, a novel value function is proposed, which considers the
cost of the control input, external disturbance and tracking error.
Then, using the structure of the value function, the tracking Bellman
equation and Hamilton function are defined. By employing the Bellman
optimality theory, the optimal control strategy and the game algebraic
Riccati equation (GARE) are solved with the Hamilton function. Next, the
desired tracking performance is guaranteed as the solution of the GARE
is found. Furthermore, an attacks-based Q-learning algorithm is
projected to find the solution to the optimal tracking problem without
the system dynamics and the convergence of the Q-learning algorithm is
given. Finally, the F-404 aircraft engine system is given to verify the
effectiveness of the proposed control strategy.