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Dynamic edge event‐triggered consensus for one‐sided Lipschitz multiagent systems with disturbances

Yang Wang, Jiuxiang Dong, Fanwei Meng

2023International Journal of Robust and Nonlinear Control11 citationsDOI

Abstract

Summary This paper studies the consensus problem for one‐sided Lipschitz (OSL) multiagent systems (MASs) affected by bounded disturbances via dynamic edge event‐triggered mechanism (DEETM). Due to disturbances and OSL dynamics in MASs, the event‐triggered consensus problem of which is quite more difficult than those of linear or Lipschitz nonlinear networks without disturbances in the previous works. In order to cope with this problem, a novel consensus method is developed based on DEETM and adaptive technique, which contains adaptive gains in both controller and DEETM. Firstly, smooth adaptive items in controller are designed to significantly compensate unknown disturbances, which can guarantee asymptotic consensus. Moreover, DEETM can effectively reduce the communication cost among neighboring agents, which does not cause Zeno behavior. It is worth noticing that the developed method is fully distributed, which relies on neither global information of the communication topology nor the upper and lower bounds of disturbances. Finally, a simulation example is given to demonstrate the effectiveness of theoretical results.

Topics & Concepts

Lipschitz continuityControl theory (sociology)Controller (irrigation)Nonlinear systemBounded functionEnhanced Data Rates for GSM EvolutionComputer scienceMulti-agent systemConsensusZeno's paradoxesEvent (particle physics)Topology (electrical circuits)MathematicsControl (management)Artificial intelligenceAgronomyCombinatoricsGeometryQuantum mechanicsBiologyMathematical analysisPhysicsDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems
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