Distributed NE Seeking With Disturbance Rejection for Games in Networks Under Directed Switching Topology
Xiaoxiao Chen, Peijun Wang, Wenwu Yu · IEEE Transactions on Circuits & Systems II Express Briefs · 2024
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.