Fixed-Time Leader-Following Consensus for High-Order Time-Varying Nonlinear Multiagent Systems
Xiu You, Changchun Hua, Kuo Li, Xinchun Jia
Abstract
This article investigates the fixed-time leader-following consensus problem for high-order nonlinear multiagent systems dominated by the lower triangular model with a time-varying gain. Based on the fixed-time distributed observer and dynamic gain control approach, a new dynamic controller is developed with two online tuned gains such that the fixed-time leader-following consensus is achieved. It is mathematically proved that the upper bound of the convergence time only depends on system parameters and controller parameters, which makes it possible to obtain a prescribed convergence time regardless of the initial conditions. Simulation results are given to demonstrate the proposed results.
Topics & Concepts
Control theory (sociology)Multi-agent systemConvergence (economics)Nonlinear systemUpper and lower boundsObserver (physics)ConsensusController (irrigation)Computer scienceMathematical optimizationControl (management)MathematicsArtificial intelligenceEconomic growthMathematical analysisQuantum mechanicsPhysicsAgronomyBiologyEconomicsDistributed Control Multi-Agent SystemsAdaptive Control of Nonlinear SystemsNeural Networks Stability and Synchronization