Observer-based cooperative fault-tolerant output regulation for Takagi–Sugeno fuzzy multi-agent systems under DoS attacks

This article studies the observer-based cooperative fault-tolerant output regulation problem for Takagi–Sugeno (T–S) fuzzy multi-agent systems (MASs) under denial-of-service (DoS) attacks. Since the communication topology among the exosystem and the MASs is subject to DoS attacks, we firstly construct a distributed fuzzy resilient estimator to estimate the exosystem's states. Secondly, by using parallel distributed compensation (PDC) algorithm, a fuzzy state observer is proposed to estimate the unavailable states. Based on the formulated distributed fuzzy resilient estimator and fuzzy state observer, a distributed output feedback fault-tolerant control (FTC) scheme is developed and the sufficient conditions of the asymptotic stability are established as linear matrix inequalities (LMIs). The proposed distributed output feedback FTC can guarantee that the controlled fuzzy MASs are asymptotically stable and the output errors converge to zero in the presence of DoS attacks and actuator faults. Finally, we apply the presented distributed output feedback FTC method to stiff link systems, the simulation and comparison outcomes illustrate its validity.