Event-Based Fixed-Time Fuzzy Containment Fault-Tolerant Control for Multi-Agent Systems with Positive Odd Rational Powers

In this research, an event-based adaptive fixed-time fuzzy containment fault-tolerant control issue for multi-agent systems (MASs) with positive odd rational powers is discussed. As a result of the presence of unknown nonlinear functions, fuzzy logic systems (FLSs) can be employed to estimate them with the support of FLSs' approximation capability. The adding a power integrator (API) can be introduced to handle the difficulties encountered in the backstepping design process for high-order nonlinear systems. Further, the event-triggered control ideology was carried out among neighbors of MASs, which is used to minimize the communication burden. In addition, the controlled MASs considered four types of sensor faults, adopting the adaptive control methods to achieve effective estimation of unknown fault parameters. According to the frame of backstepping control, an adaptive fuzzy containment event-triggered controller for MASs with positive odd rational powers was designed that can realize all signals are fixed-time bounded, even if MASs may exist sensor faults. In the last resort, the illustrative example can manifest the validity of the suggested approach.