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Fuzzy adaptive event-triggered control for uncertain nonlinear system with prescribed performance: A combinational measurement approach
Institution:1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044, China;2. National Research Center of Railway Safety Assessment, Beijing Jiaotong University, Beijing 100044, China;1. University Key Laboratory of Intelligent Perception and Computing of Anhui Province, Anqing Normal University, Anqing 246001, China;2. School of Mechanical Engineering, Hunan University of Science & Technology, Xiangtan 411201, China;3. College of Mathematics and Big Data, Anhui University of Science & Technology, Huainan 232001, China;4. National Laboratory of Industrial Control Technology, Institute of Cyber-Systems and Control, Zhejiang University, Hangzhou 310027, China;1. School of Automation, Nanjing University of Science and Technology, Nanjing, China;2. School of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210023, China;3. School of Science, Huzhou University, Huzhou 313000, China;1. School of Automation, Guangdong University of Technology, Guangzhou 510006, PR China;2. Faculty of Computer Science and Engineering, South China University of Technology, Guangzhou 510006, PR China;1. College of Science, Liaoning University of Technology, Jinzhou, Liaoning, 121001, P. R. China;2. College of Information Science and Engineering, Northeastern University, Shenyang, Liaoning, 110819, P. R. China;3. School of Automation Science and Engineering, South China University of Technology, 510641, Guangzhou, China;4. Key Laboratory of Autonomous Systems and Networked Control, Ministry of Education, and also with Unmanned Aerial Vehicle Systems Engineering Technology Research Center of Guangdong;5. Shenyang Institute of Automation, Chinese Academy of Science, Shenyang, Liaoning, 110016, P. R. China;1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing, 100044, China;2. The Center of National Railway Intelligent Transportation System Engineering and Technology, China Academy of Railway Sciences, Beijing, 100081, China
Abstract:This paper addresses the adaptive fuzzy event-triggered control (ETC) problem for a class of nonlinear uncertain systems with unknown nonlinear functions. A novel ETC approach that exhibits a combinational triggering (CT) behavior is proposed to update the controller and fuzzy weight vectors, achieving the non-periodic control input signals for nonlinear systems. A CT-based fuzzy adaptive observer is firstly constructed to estimate the unmeasurable states. Based on this, an output feedback ETC is proposed following the backstepping and error transformation methods, which ensures the prescribed dynamic tracking (PDT) performance. The PDT performance indicates that the transient bounds, over-shooting and ultimate values of tracking errors are fully determined by the control parameters and functions chosen by users. The closed-loop stability is guaranteed under the framework of impulsive dynamic system. Besides, the Zeno phenomenon is circumvented. The theoretical analysis indicates that the proposed scheme guarantees control performance while considerably reducing the communication resource utilization and controller updating frequency. Finally, the numerical simulations are conducted to verify the theoretical findings.
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