Observer-Based Distributed Model-Free Fixed-Time Sliding Mode Control for Multi-Linear Motors Speed Consistency

For multi-linear motor systems, each motor subsystem can communicate with its neighbors through communication topology to achieve collaborative work. Therefore, the multi-linear motor system can be regarded as typical multi-agent systems (MASs). This paper proposes a distributed model-free fixed-time sliding mode control (SMC) approach to tackle of the problem of multi-linear motors speed consistency. Firstly, using the ultralocal model to build the mathematical model for agents, enhanced the robustness of MAS. Moreover, to achieve the fixed-time consensus tracking, a distributed fixed-time SMC approach is proposed, which can ensure that the convergence time's upper bound remains unaffected by the initial state of MASs. Finally, some simulations based on Matlab/Simulink are provided, which indicate the feasibility and superiority of the proposed method.