An improved class of fixed-time consensus protocols for multi-agent systems

Abstract

This paper investigates the fixed-time consensus problem for a class of multiagent systems with simple dynamics. Unlike the traditional way to realize fixed-time convergence, a novel strategy using the property of periodic functions is proposed to achieve fixed-time convergence. On this basis, novel protocols for achieving fixed-time consensus and fixed-time average consensus are then given, where the upper bound of the consensus time is independent of initial conditions. Moreover, the result of fixed-time average consensus is extended to a more general case, where the weights of different states can be allocated in advance. Finally, the fixed-time consensus in the presence of disturbances is derived with the help of sliding mode control, where a fixed-time sliding manifold and fixed-time reaching law are designed. All the conclusions are demonstrated by dedicated simulation examples.

Bounded Consensus of Discrete Stochastic Double-Integrator Multi-Agent Systems Over Switching Topologies

“…The ideal MASs mean that agents can obtain information accurately and in time, and there is no uncertainty in the agent's dynamics. For the ideal MASs, [13,14,15,16,17] has done related research. In practical applications, there are various kinds of noises interference in the systems, which will infulence the convergence and even cause the topology to switch randomly.…”