On the robustness of cyber-physical LPV systems under DoS attacks

Abstract

This paper addresses the state-feedback control problem for discrete-time linear parameter-varying (LPV) systems under the presence of exogenous disturbance and denial of service (DoS) attacks. The problem is modeled as a switched LPV system where the number of modes is connected with the number of consecutive DoS attacks. Three strategies are proposed, the use of a full packet of controllers, the hold strategy, and the zero-input strategy. The robustness of each scenario is assessed by using the H∞ performance from the exogenous input to the output of the switched LPV system. The employed Lyapunov function avoids the use of a duality argument to get the conditions. Additionally, in each considered scenario, it is possible to design, robust controllers, LPV controllers, and rational controllers to stabilize the system. Numerical experiments illustrate the behavior of the proposed strategies in different scenarios, confirming the effectiveness of the proposed method in providing robustness even under DoS attacks.