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

This 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.