Robust consensus of uncertain multi agent systems with one‐sided Lipschitz nonlinearity

Abstract

AbstractThis article develops protocols for the consensus of an uncertain nonlinear multi‐agent system that satisfies the one‐sided Lipschitz and quadratic‐inner bounded conditions. Fully distributed consensus protocols with observer‐based and observer‐less schemes are investigated. For the observer‐based system, a full order Luenberger observer is designed. To overcome the difficulties of designing the controller and observer‐based controller gains, sufficient conditions are provided with a complete linear matrix inequality characterization. Finally, two simulation examples are provided to illustrate the effectiveness of the proposed approach.