Fixed-Time Resilient Cooperative Output Regulation for Takagi–Sugeno Fuzzy Multiagent Systems Under DoS Attacks

Abstract

Multiagent systems (MASs) rely on communication networks to exchange information, which are vulnerable to denial-of-service (DoS) attacks. DoS attacks not only disrupt the communication channels but also lead to the instability of MASs. Thus, it is an important and challenging topic to study the resilient cooperative control problem under DoS attacks. This article studies the fixed-time fuzzy resilient cooperative output regulation problem for nonlinear MASs over directed graphs under DoS attacks. First, the considered nonlinear MASs are modeled by Takagi–Sugeno (T–S) fuzzy systems. Since the considered communication topology of the controlled systems is vulnerable to DoS attacks, the leader states cannot be obtained by agents; then, a fixed-time fuzzy distributed resilient observer is developed to estimate the leader states. The developed fuzzy resilient observer can guarantee that the estimation errors converge to zero in a finite time interval. In control design, the controlled systems are transformed into the controllable canonical linear time-varying (LTV) MASs by using nonsingular Lyapunov transformations. Then, based on the designed fuzzy resilient observer, a fuzzy fixed-time distributed resilient regulator is proposed. It is proved that the proposed fuzzy fixed-time resilient cooperative output regulation scheme can ensure that regulated errors converge to zero in a finite time interval. Finally, we apply the developed fuzzy fixed-time resilient control method to multiple autonomous surface vehicle (ASV) systems in maritime Internet of Things (IoT) systems; the simulation and comparison results verify the effectiveness of the developed fixed-time resilient control approach.