Secure Control for Cyber-Physical Systems with Positive Constraint Under DoS Attack

This paper mainly studies the secure control problem of cyber-physical systems with positive constraint and denial-of-service (DoS) attack. The energy of DoS attack considered in this paper is assumed to be limited. According to the different lengths of DoS attack duration, a switched positive system model composed of several positive subsystems is constructed. By virtue of the persistent dwell time and multiple copositive Lyapunov functions methods, the stabilization criterion is derived. Furthermore, the secure controller is designed and the corresponding algorithm is developed for solution. At last, a numerical example is provide to illustrate the potential of the proposed method.