Observer-based mean square consensus of nonlinear networked systems under Markov switching communication topologies
Journal of the Franklin Institute(2023)
摘要
This paper aims to investigate the mean square consensus (MSC) problem of a class of nonlinear networked systems subject to directed and stochastic switching communication topologies, where the switching law is determined by an ergodic continuous-time Markov process. The cooperative consensus controller is designed by using an observer-based method. Firstly, for the case with Lur'e nonlinear dynamics, by developing a stochastic Lyapunov function, we show that the MSC under consideration can be realized if the union of the underlying network graphs has a directed spanning tree. It is worth noting that none of the network graphs is required to contain a directed spanning tree. Moreover, we study the MSC problem for networked systems with Lipschitz-type nonlinear dynamics. Finally, a numerical simulation is conducted on multiple Chua's circuit systems to illustrate the effectiveness of the proposed controllers.& COPY; 2022 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
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关键词
mean square consensus,nonlinear networked systems,observer-based
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