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Further results on stabilization for NCSs with packet losses and transmission delay: UDP case
Institution:1. Institute of Complexity Science, College of Automation, Qingdao University, Qingdao 266071, China;2. School of Control Science and Engineering, Shandong University, Jinan 250061, China;1. Institute for Problems of Mechanical Engineering, Russian Academy of Sciences, 61 Bolshoy Prospekt V.O., Saint Petersburg 199178, Russia;2. ITMO University, 49 Kronverkskiy ave, Saint Petersburg 197101, Russia;1. School of Automation, China University of Geosciences, Wuhan 430074, PR China;2. School of Automation and Electrical Engineering, Linyi University, Linyi 276005, PR China;3. Hubei Key Laboratory of Advanced Control and Intelligent Automation of Complex Systems, Wuhan 435002, PR China;4. College of Mechatronics and Control Engineering, Hubei Normal University, Huangshi 435002, PR China;5. School of Mechanical Engineering and Electronic Information, China University of Geosciences, Wuhan 430074, PR China;1. College of Science, Liaoning University of Technology, Jinzhou 121001, PR of China;2. College of Information Science and Engineering, State Key Laboratory of Synthetical Automation of Process Industries, Northeastern University, Shenyang 110819, PR China;1. School of Science and Technology – Mathematics Division, University of Camerino, Via Madonna delle Carceri 9, Camerino 62032, MC, Italy;2. Department of Technology Systems (ITS), University of Oslo, Gunnar Randers vei 19, Kjeller 2007, Norway;3. Institut de Robòtica i Informàtica Industrial, CSIC-UPC, Llorens i Artigas 4–6, Barcelona 08028, Spain;4. Research Center for Supervision, Safety and Automatic Control (CS2AC), Universitat Politècnica de Catalunya (UPC), Rambla Sant Nebridi, s/n, Terrassa 08022, Spain;1. Department of Electrical Engineering, Jordan University of Science and Technology, Irbid 22110, Jordan;2. Electrical Power & Machines Department, High Institute of Engineering, El Shorouk Academy, Cairo, Egypt;3. Electrical Power and Energy Department, Military Technical College, Cairo, Egypt;4. Faculty of Engineering and Technology, Future University in Egypt, Cairo, Egypt;5. Department of Electrical and Computer Engineering, The Ohio State University, Columbus, OH 43210, United States;6. Department of Electrical Engineering, COMSATS University Isamabad, Islamabad, Pakistan
Abstract:The stabilization problem concerning the user datagram protocol (UDP) for networked control systems (NCSs) is investigated in this paper. More specifically, both the state and control signal can be lost during transmission, and the networked induced delay occurs while the control signal delivered to the actuator. On the other hand, no communication channel can be accessed from the actuator to the estimator (no acknowledge signal). The innovations of this paper include: (1) Based on the modified Riccati-ZXL equations, the necessary and sufficient stabilization conditions are developed for the NCSs with packet losses and transmission delay (UDP case); (2) We have verified that the separation principle holds for the finite horizon optimal output feedback control problem; (3) For 1-dimensional case, the maximal delay bound and the maximal packet losses rate are derived.
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