Observer-based output feedback H_∞ control for cyber-physical systems under randomly occurring packet dropout and periodic DoS attacks

This paper investigates the observer-based output feedback control problem for cyber-physical systems against randomly occurring packet dropout and periodic Denial-of-Service (DoS) attacks. Two independent Bernoulli distribution are employed to model the randomly occurring packet dropout and periodic DoS attacks such that the considered system can be viewed as a stochastic system. Then, by stochastic analysis method, it proves that the closed-loop systems are still stochastically stable and satisfy a specified H_∞ performance. The relationship between the disturbance rejection capacity and the success rate of a DoS attacker is also analyzed. Moreover, some novel inequalities and auxiliary matrices are adopted to remove the restrictive conditions on input matrix B and the diagonal structure of Lyapunov function. Finally, three examples are utilized to show the applicability of the proposed method.