H∞-consensus PID control of multi-agent systems under replay attack
This paper takes into account the H∞-consensus proportional-integral-derivative(PID)control problem for a class of discrete-time multi-agent systems with additive noise and multiplicative noise under the replay attack.First,the state observer is designed according to the measurement output of the agent to effectively estimate the state of the agent.In the process of observer design,the influence of replay attack is considered in the transmission of system measurement output from sensor to observer.Second,PID controller is designed by employing the estimated state difference between the agent and its neighbor agent.Based on the Lyapunov stability theorem and algebraic graph theory,it is shown that,under such control strategy,the multi-agent system can reach the expected H∞ performance index in the presence of replay attack.Finally,the linear matrix inequality(LMI)method is utilized to solve the gains of observer and controller.A numerical simulation is conducted to verify the effectiveness of the designed observer and PID controller.
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