Guaranteed Performance Consensus for Multi-Agent Systems

Abstract

The guaranteed performance of the consensus control for multi-agent systems with Lipschitz nonlinear dynamics and directed interaction topologies is investigated, where the directed interaction topology contains a spanning tree. By a special matrix transformation, guaranteed performance consensus problems are transferred into guaranteed performance stabilization problems. Then, the criterions of guaranteed performance consensus for nonlinear multi-agent systems with directed interaction topologies are obtained, and an upper bound of the introduced performance function is given. A numerical simulation is given to demonstrate the effectiveness of the proposed results. Finally, some possible topics about the guaranteed performance consensus problem for nonlinear multi-agent systems are proposed.

Nonlinear Consensus Protocol Modified from Doubly Stochastic Quadratic Operators in Networks of Dynamic Agents

“…Two general nonlinear consensus algorithms of higher-order models have been solved for the MAS where the agreement has been achieved in a finite time also [44]. The ensured execution of the agreement control for MAS frameworks with Lipschitz nonlinear flow and coordinated interaction topologies was explored in [45], where the coordinated interaction topology contained a crossing tree. Onother researches via a nonlinear operator was proposed in [46][47][48][49] in order to converge the individual network connectivity agents at a common value.…”