Cyber Physical Attacks Constrained By Control Objectives

This paper studies attackers with specific objectives against a cyber physical system. The attacker performs an integrity attack in order to move the system to a target state while evading detection over a finite time window. We formulate and solve an optimal control problem that captures the attacker's objective - the solution gives the optimal sequence of attacks. We provide a sufficient condition for the existence of an optimal attack sequence. Finally, we demonstrate our proposed attack strategy in a numerical example.