Prescribed performance control for networked nonlinear systems under switching topologies

In this paper, we address the problem of prescribed performance control (PPC) for a class of switching network systems characterized by multiple parametric strict feedback forms (PSF) with unknown control coefficients, uncertain time-varying parameters, and unknown time-varying disturbances. The adaptive controller designed requires only the accessibility of output information from neighboring agents to ensure precise synchronization of all agents’ outputs. Moreover, the neighborhood error of each agent evolves within a specified range and ultimately converges to zero when the union of all switching digraphs contains a directed spanning tree. By employing command filters, we mitigate the issue of “term explosion” in the backstepping method, thereby lessening the computational burden. All signals within the closed-loop system are shown to remain bounded. Finally, a numerical simulation is presented to validate the controller’s effectiveness.