Attack-Parameter-Dependent H∞ Control for Singular Systems under Time-Constraint DoS Attacks

In this paper, we address the H
∞
control problem for singular systems under a type of time-constraint denial-of-service (DoS) attacks. Firstly, we come up with the concept of maximum attack rate, so we don’t have to take into account the frequency or duration of DoS attacks, which means we need less information about attacks. Secondly, we employ an approach based on the attack-parameter-dependent time-invariant piecewise Lyapunov-Krasovskii functional to attain the stability of the switch-like singular systems under DoS attacks. Moreover, the criteria for H
∞
performance which is based on the attack parameter can be presented and the controller gain can also be obtained. Lastly, we provide a simulation of a circuit system to validate the effectiveness of the theoretical findings put forth in this paper.