Leaderless and leader‐following fixed‐time consensus for multiagent systems via impulsive control

Xiaoqin Zhai, Guoguang Wen, Zhaoxia Peng, Xianghang Zhang

2020International Journal of Robust and Nonlinear Control32 citationsDOI

Abstract

Summary This article addresses the leaderless fixed‐time consensus (LLFTC) and leader‐following fixed‐time consensus (LFFTC) problems for multiagent systems (MASs) via impulsive control. First, a novel fixed‐time stability for impulsive dynamical system is developed. Then the novel fixed‐time impulsive control protocols are designed to achieve leaderless and leader‐following consensus for MASs. Based on the impulsive control theory, fixed‐time stability theory and algebraic graph theory, some sufficient conditions are derived for each agent to achieve LLFTC and LFFTC under the proposed control protocols. Finally, numerical simulations are put forward to validate the theoretical results.

Topics & Concepts

Control theory (sociology)Multi-agent systemAlgebraic graph theoryFixed pointComputer scienceFixed wingControl (management)ConsensusGraph theoryMathematicsEngineeringArtificial intelligenceCombinatoricsAerospace engineeringMathematical analysisWingDistributed Control Multi-Agent SystemsNeural Networks Stability and SynchronizationStability and Control of Uncertain Systems