Consensus Problem in High-Order Multiagent Systems With Lipschitz Nonlinearities and Jointly Connected Topologies

Guaranteed‐performance consensus design for Lipschitz nonlinear multiagent systems with jointly connected topologies

“…In this sense, we introduce a self‐feedback gain matrix K 1 to meet the aforementioned purpose. In the works of Wang et al and Rezaee and Abdollahi, the consensus problems of nonlinear multiagent systems with jointly connected topologies were considered, but the performance costs were not investigated, which reduce the constraint of the guaranteed‐performance consensus criteria. Thus, the control protocols in our manuscript contain self‐feedback parts but the ones in the aforementioned works do not.…”

“…In this sense, the guaranteed‐performance consensus criterion for the jointly connected multiagent system proposed in the current work can also satisfy the condition of guaranteed‐performance consensus for the connected case. In other works, the consensus problems with jointly connected topologies were considered, but the upper bound of the performance function cannot be achieved. In the current work, the guaranteed‐performance problem is solved by using the structure of the performance function and the property of the Laplacian matrix, and then, the guaranteed‐performance cost can further be obtained.…”

“…In the work of Yu and Xia, leaderless consensus problems for multiagent systems with jointly connected topologies were taken into account and an adaptive consensus design method was proposed to solve the consensus problems. Rezaee and Abdollahi proposed the consensus criteria in terms of Riccati inequalities for multiagent systems with jointly connected topologies, where the Lipschitz nonlinearity and input‐affine nonlinear were considered, respectively.…”

“…Firstly, the interaction topologies of multiagent systems are modeled as jointly connected topologies during the solving of guaranteed‐performance consensus design problems, while they were assumed to be connected for all the time in the work of Xi et al Secondly, the consensus regulation performance is taken into account and the guaranteed‐performance costs for both leaderless and leader‐following cases with the communication structure properties are determined. Related works about consensus problems with jointly connected topologies were addressed and inspirational results were proposed, but the consensus regulation performance was not considered. Thirdly, the impacts of the Lipschitz nonlinear dynamics for guaranteed‐performance consensualization are considered.…”

“…Based on the work of Xi et al, we considered the jointly connected topology situation, which is more complex than the general connected case. Inspired by the method of dealing with the consensus problems with jointly connected topologies in other works, the performance functions are introduced and the guaranteed‐performance consensus problems with jointly connected topologies are taken into account.…”