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Distributed Discontinuous Adaptive Impulsive Consensus of Uncertain Multi-agent Systems

  • Zhengle Zhang,
  • Tiedong Ma,
  • Bing Cui

摘要

The adaptive impulsive consensus problem of uncertain multi-agent systems (MASs) with stochastic disturbance is studied in this chapter. Firstly, the distributed impulsive controller and the discontinuous adaptive law are designed. This discontinuous control protocol only needs to transmit information at impulsive instant, which can reduce the communication cost. Then, based on Lyapunov stability theory, impulsive differential equation theory and infinite series correlation properties, the conditions of impulsive control gain and impulsive interval via the discontinuous adaptive impulsive control law are derived to guarantee the consensus of MASs. Finally, some necessary simulations are shown to validate the effectiveness of discontinuous adaptive impulsive control protocol in this chapter.