Abnormal spatio‐temporal source estimation for a linear unstable parabolic distributed parameter system: An adaptive PDE observer perspective |
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| Authors: | Yun Feng Yaonan Wang Jun-Wei Wang Han-Xiong Li |
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| Institution: | 1. College of Electrical and Information Engineering, Hunan University, Changsha 410082, China;2. National Engineering Laboratory for Robot Visual Perception and Control Technology, Hunan University, Changsha 410082, China;3. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;4. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;1. College of Electrical and Information Engineering, Hunan University, Changsha 410082, China;2. National Engineering Laboratory for Robot Visual Perception and Control Technology, Hunan University, Changsha 410082, China;3. School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing 100083, China;4. Department of Systems Engineering and Engineering Management, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong;1. School of Electronics Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. School of Architecture and Civil Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;1. School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, China;1. Navigation College, Dalian Maritime University, Dalian 116026, China;2. School of Automation Engineering, University of Electronic Science and Technology of China, Chengdu 611731, PR China;3. The School of Electrical Engineering, Southwest Jiaotong University, Chengdu 611756, China;1. School of Electronics Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;2. School of Architecture and Civil Engineering, Kyungpook National University, 80 Daehakro, Bukgu, Daegu 41566, Republic of Korea;3. Department of Control and Instrumentation Engineering, Pukyong National University, 45 Yongsoro, Namgu, Busan 48513, Republic of Korea;1. School of Information Engineering, Henan University of Science and Technology, Luoyang 471023, China;2. School of Automation, Nanjing University of Science and Technology, Nanjing 210094, China |
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| Abstract: | Detection and estimation of abnormalities for distributed parameter system (DPS) have wide applications in industry, e.g., battery thermal fault diagnosis, quality monitoring of hot-rolled strip laminar cooling process. In this paper, the abnormal spatio-temporal (S-T) source detection and estimation problem for a linear unstable DPS is first studied. The proposed methodology consists of two steps: first, an abnormality detection filter (ADF) which generates a residual signal for abnormality detection in the time domain is constructed using pointwise measurement; Then, an adaptive Luenberger-type PDE observer including an adaptive estimation algorithm is designed and triggered only when an alarm raises from the ADF. Theoretic analysis based on the spatial domain decomposition approach is presented to show the convergence of the estimation errors. Finally, an illustrative example is presented to show the performance of the proposed method. |
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