Distributed NE Seeking With Disturbance Rejection for Games in Networks Under Directed Switching Topology

This brief investigates the distributed Nash equilibrium (NE) seeking together with disturbance rejection for games in networks with first-order dynamics subject to non-vanishing disturbances under directed switching topology. By using the disturbance-observer-based control (DOBC) technique, a consensus based cooperative controller together with a disturbance observer (DO) is designed. Furthermore, by constructing a multiple Lyapunov function (MLF), it is shown that distributed NE seeking with disturbance rejection can be achieved if the average dwell time is larger than a threshold. Finally, an example is provided to verify the result.