Proceedings of the 9th Annual ISC Graduate Research Symposium ISC-GRS 2015 April 27, 2015, Rolla, Missouri OPTIMAL DEFENSE AND CONTROL FOR CYBER-PHYSICAL SYSTEMS Haifeng Niu and S. Jagannathan Electrical and Computer Engineering Department, Missouri University of Science and Technology {hnhy6, sarangap}@mst.edu ABSTRACT In this paper, we propose a novel representation for cyber-physical systems wherein the activities of the cyber system affect the states of the physical plant and vice versa. Subsequently by using this representation, the optimal strategies are derived for the defender and the attacker. Next, an optimal controller is revisited for the physical system in the presence of uncertain dynamics resulting from the cyber system under attacks. Finally, an illustrative example is given where the proposed theory is evaluated on the yaw-channel control of an unmanned aerial vehicle (UAV). Simulation results show that on the cyber side, both the attacker and the defender gain their greatest payoff whereas on the physical system side, the optimal controller is able to maintain the system stable.