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Centralized fusion estimation over wireless sensor-actuator networks with unobservable packet dropouts
Institution:1. Institute of Intelligence Science and Engineering, Shenzhen Polytechnic, Shenzhen 518055, China;2. Department of Mechanical Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China;1. College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi 530004, PR China;2. School of Electrical Engineering, Guangxi University, Nanning, Guangxi 530004, PR China;1. School of Mechanical, Electronic and Control Engineering, Beijing Jiaotong University, Beijing 100044, China;2. Beijing Advanced Innovation Center for Intelligent Robots and Systems, Beijing Institute of Technology, China;3. Key Laboratory of Vehicle Advanced Manufacturing, Measuring and Control Technology (Beijing Jiaotong University), Ministry of Education, 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. Institute for Problems of Mechanical Engineering of the Russian Academy of Sciences, 61 Bolshoy Prospekt V.O., St. Petersburg 199178, Russia;2. Gubkin University, 65 Leninsky Prospekt, Moscow 119991, Russia;1. Department of Electrical Engineering, University of Technology of Paraná – UTFPR Cornélio Procópio 86300-000, PR, Brazil;2. Federal Institute of São Paulo – IFSP, Campus Avaré, Avaré 18707-150, SP, Brazil
Abstract:This paper studies centralized fusion estimation over a wireless sensor-actuator network, where packet dropouts cannot be observed by the fusion estimator. For such a system, we obtain an optimal linear fused estimation of system states, also known as optimal linear estimator. Then, we establish a necessary and sufficient condition for the stability of the optimal linear estimator. Finally, we show that the estimation performance is monotonically decreasing with respect to the observation packet-arrival rate. By analyzing a sequence that converges to the covariance of the optimal linear estimator, an analytical relationship between the estimation performance and the control packet-arrival rate is obtained. Simulation examples are given to illustrate the main results.
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