Observer-based mean square consensus of nonlinear networked systems under Markov switching communication topologies |
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| Institution: | 1. Advanced Research Institute of Multidisciplinary Sciences, Beijing Institute of Technology, Beijing 100081, China;2. Yangtze Delta Region Academy of Beijing Institute of Technology, Jiaxing 314000, China;3. School of Vehicle and Mobility, Tsinghua University, Beijing 100084, China;4. School of Information and Electronics, Beijing Institute of Technology, Beijing 100081, China;1. School of Computer Science & Technology, Anhui University of Technology, Ma’anshan, 243032, PR China;2. College of Mathematics and Systems Science, Shandong University of Science & Technology, Qingdao 266590, PR China;1. Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen Guangdong, 518055, PR China;2. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou Zhejiang, 310027, PR China;3. College of Automation, Harbin Engineering University, Harbin, PR China;4. Department of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, PR China |
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| Abstract: | 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. |
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