Memory‐Based Anti‐Disturbance Bumpless Transfer Control for Switched Positive Systems and Its Application to Circuit Model

This paper examines the issue of memory‐based anti‐disturbance bumpless transfer (ADBT) control for switched positive systems (SPSs), which aims to reduce or eliminate the influence of multiple disturbances on such systems. To accurately estimate and track the disturbance modeled, a switching disturbance observer incorporating historical observation data is proposed. The controller is then designed to tackle the ADBT control problem for the SPSs under different types of switching signals. Conditions that ensure the ADBT property of the SPSs are derived by using the multi‐linear copositive Lyapunov functions method. Finally, the practical applicability of the theoretical findings is demonstrated by presenting a circuit model example.