Toward the LPV Approach for Adaptive Distributed Consensus of Lipschitz Multi-Agents

This brief investigates an adaptive distributed consensus control of Lipschitz nonlinear multi-agent systems by means of output feedback. The Lipschitz nonlinearity is reformulated via a linear parameter-varying approach. Compared with the recent existing results, our consensus protocol is less conservative and feasible for larger values of Lipschitz constant. Furthermore, the results of the proposed protocol are extended to the case of switching topologies. Necessary and sufficient conditions are derived for the proposed design conditions to compute the parameters of consensus control strategies. Finally, numerical simulations are included to demonstrate the effectiveness of the proposed consensus protocol.