Robust fixed‐time connectivity preserving consensus of nonlinear multi‐agent systems with disturbance
Fenglan Sun, Feng Wang, Peiyong Liu, Jürgen Kurths
Abstract
Abstract This article studies the fixed‐time tracking consensus of second‐order nonlinear multi‐agent systems with disturbance. To make the fixed‐time tracking consensus, a consensus protocol based on the integral sliding mode surface is proposed, which can ensure the adjacent agents remain within a limited communication range in the communication process. By adopting Lyapunov stability theory and matrix theory, sufficient conditions for the fixed‐time tracking consensus are given, and a bound of the settling time is obtained. Finally, a simulation example is presented to verify the potential correctness of the obtained results.
Topics & Concepts
Control theory (sociology)Settling timeNonlinear systemCorrectnessComputer scienceMulti-agent systemUpper and lower boundsLyapunov stabilityDisturbance (geology)ConsensusLyapunov functionTracking (education)MathematicsControl (management)Control engineeringEngineeringAlgorithmArtificial intelligencePhysicsStep responsePaleontologyQuantum mechanicsPsychologyMathematical analysisPedagogyBiologyDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationAdaptive Control of Nonlinear Systems