Global Adaptive Leader-Following Consensus for Second-Order Nonlinear Multiagent Systems With Switching Topologies
Wencheng Zou, Chao Zhou, Jian Guo, Zhengrong Xiang
Abstract
In this note, the leader-following consensus problem is considered for a class of second-order nonlinear multiagent systems, where the communication topology is switching. In view of that the Lipschitz constants of nonlinear terms are unknown, adaptive control strategy is adopted. Using the back-stepping technique, a new adaptive protocol is proposed. It is noted that the global information, including the eigenvalues of Laplacian matrix, is not used in the protocol design. It is proven that the practical leader-following consensus can be reached by the given control scheme. Finally, we present a numerical example to show the effectiveness of the proposed protocol.
Topics & Concepts
Nonlinear systemMulti-agent systemConsensusProtocol (science)Lipschitz continuityNetwork topologyLaplacian matrixControl theory (sociology)Computer scienceTopology (electrical circuits)Scheme (mathematics)Eigenvalues and eigenvectorsClass (philosophy)MathematicsMathematical optimizationControl (management)Theoretical computer scienceArtificial intelligenceComputer networkPure mathematicsQuantum mechanicsAlternative medicineMedicineCombinatoricsMathematical analysisGraphPhysicsPathologyDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems