Guaranteed‐performance consensus tracking for one‐sided Lipschitz non‐linear multi‐agent systems with switching communication topologies

Abstract The guaranteed‐performance consensus tracking (GPCT) for non‐linear multi‐agent systems (MASs) with switching communication topologies is presented. Different from the existing work, the non‐linear range of one‐sided Lipschitz non‐linear MASs is wider than the Lipschitz ones, and the upper bound of the tracking performance is given while achieving the consensus tracking. First, a guaranteed‐performance tracking control protocol is proposed, where consensus tracking regulation performance is involved. Then, by the linear matrix inequality (LMI), sufficient conditions are provided to achieve the GPCT under the one‐sided Lipschitz and quadratic inner bounded conditions. It is worth noting that a special LMI structure is directly constructed by introducing these two conditions to simplify the complexity of the derivation. Finally, two simulation examples are provided to demonstrate the effectiveness of the proposed results.