H2 state-feedback control for discrete-time cyber-physical uncertain systems under DoS attacks

Highlights：

• A new switched LTI uncertain model that describes CPS dynamics during a DoS attack. The attacker has a limited energy source, and the maximum number of consecutive attacks is bounded.

• New sufficient conditions to guarantee the H2 performance for energy-bounded disturbances in discrete-time LTI uncertain CPS under DoS attacks. The conditions are derived using the Con- trollability Gramian. Moreover, a switched parameter-dependent Lyapunov function is employed to get the LMI conditions.

• The conditions may be used to design different packet-based control strategies. In the full packet strategy, the robust controllers are applied successively during the occurrence of the attack. The holding strategy keeps the same controller in the presence of the attack. On the other hand, the zero strategy sets the input to zero when the DoS attack is happening.