ABSTRACT In the cooperative control of second‐order multiagent systems, achieving fixed‐time leader‐following consensus remains a significant challenge, especially when states are unmeasurable, actuator faults occur and global topology information is unavailable. To handle these problems, this study suggests a fully distributed fault‐tolerant control framework. A novel observer is designed to enable all followers to estimate the leader's unmeasurable position and velocity states within a fixed time. Then, to tackle nonlinear terms, fuzzy logic systems are proposed. Considering the existence of loss of effectiveness and bias faults, a fully distributed fault‐tolerant controller is constructed to improve the system's fault‐tolerant capability. Furthermore, a set of time‐varying adaptive gains is designed to eliminate the need for global parameters, ensuring scalability and robustness of the overall protocol. Theoretical analysis demonstrates that the control strategy ensures system stability and the tracking error converges to a small neighbourhood of the origin. Notably, the schemes proposed in this article can achieve all control objectives within a fixed time, reducing the conservatism of convergence time estimation and independent of initial conditions. To illustrate the efficacy of the designed control law, two numerical examples are provided.
Wu et al. (Thu,) studied this question.