Reduced-Order Observer-Based Resilient Control for MASs With Time-Varying Delay Against DoS Attacks

Abstract

This paper concentrates on the resilient control issue in multi-agent systems (MASs) with the time-varying delay subjected to denial of service (DoS) attacks. To eliminate the impact of DoS attacks, a novel resilient control framework is constructed for MASs, where a variable following the Bernoulli distribution process is utilized to denote the behaviors of the attacker. Besides, we design a novel reduced-order (RO) observer with internal time-varying delay to estimate the unknown output of the system and compensate for lost data in the channels. Different from the general observers, the designed observer can ensure both the reduced-order observation errors and the full-order ones can converge to zero. Furthermore, an RO observer-based distributed protocol is devised such that the consensus errors of the closed-loop systems asymptotically converge to zero. Simulation comparisons are provided to validate the efficiency and superiority of our approach.