Fixed-time convergent consensus algorithm of networked nonholonomic multi-agent systems

Abstract : In this paper, the problem of fixed-time leader-follower consensus problem of nonholonomic multi-agent systems is under study. Using the "desingularisation method" introduced in the seminal paper by J.M. Coron [5], new fixed-time controllers/observers for the double integrator system are designed. Following those results, a switching consensus protocol which guarantees the tracking errors stabilization in fixed-time which does not depend on the initial conditions of the multi-agent system is provided. Simulation results on a fleet of wheeled mobile robots show the effectiveness of the proposed scheme.