Distributed sliding mode leader-following consensus controller for uncertain time-delay linear parameter-varying multiagent systems

This study addresses the consensus problem of leader-following multiagent systems, whose dynamics are governed by time-delay linear parameter-varying models with norm-bounded uncertainties. At first, a delay-dependent sufficient condition concerned with the existence of a parameter-varying sliding surface is given in terms of linear matrix inequalities. Then, a robust consensus among the leader and followers is achieved via the distributed linear parameter-varying sliding mode control protocol. Conditions for closed-loop stability are also presented in the form of some theorems. Simulation results demonstrate the effectiveness of the proposed approach.