State-Feedback Control for Cyber-Physical LPV Systems Under DoS Attacks

Abstract

This letter addresses the state-feedback control problem for Cyber-physical Linear Parameter Varying systems. Both the feedback state and the time-varying parameter are affected by denial of service (DoS) attacks. The main goal is to design gain-scheduled state-feedback controllers that can mitigate the interference of this type of attack in the system. The system under attack is modeled as a switched linear parameter-varying system, and new conditions in the form of parameter-dependent Linear Matrix Inequalities are presented to provide stabilizing controllers with exponential decay rate. Moreover, lifted conditions based on the use of post-attack dynamics, that may improve the performance of the obtained controllers are presented. Numerical experiments illustrate the effectiveness of the proposed method.