Static output-feedback control for Cyber-physical LPV systems under DoS attacks

Abstract This paper is concerned with the static output-feedback secure control problem for Cyber-physical linear parameter varying systems under Denial of Service (DoS) attacks. A scenario where the number of consecutive DoS attacks is bounded is considered. A packet-based output control method for the design of gain-scheduling output-feedback controllers that diminish the influence of malicious attack on the system behavior is presented. Moreover, the technique may also be adapted to design a fixed robust or gain-scheduled controller. The system dynamic during the attack is modeled as a switching linear parameter varying system. The proposed conditions are written in the form of parameter-dependent Linear Matrix Inequalities and no structural constraints on the systems matrices are imposed. Differently from existing approaches, a lifted condition that considers the free of attack dynamics in the construction of the Lyapunov function is introduced. Numerical experiments illustrate the potential of the proposed approach and its ability to guarantee the stability of the closed-loop system under DoS attacks.