Distributed L2 - L∞ consensus of multiagent systems with nonconvex constraints

This paper discusses the L-2 - L-infinity consensus problem for multiagent systems with non-convex constrains. Both nonconvex constraints and external disturbance are taken into consideration in the same time, under the expected L-2 - L-infinity performance, a distributed algorithm based on the introduction of constraint operators is proposed. By using Lyapunov function and constraint operators, some sufficient conditions are given to ensure that each agent reach the L-2 - L-infinity consensus can be achieved.