A hybrid modeling method for mechanical systems |
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Authors: | Mitsuo Hirata Yohei Hashimoto Sakae Noguchi Shuichi Adachi |
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Affiliation: | 1. Department of Electrical and Electronic Systems Engineering, Graduate School of Engineering, Utsunomiya University, 7-1-2 Yoto, Utsunomiya, Tochigi 321-8585, Japan;2. Department of Applied Physics and Physico-Informatics, Faculty of Science and Technology, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Japan;1. Graduate Program in Modeling and Optimization, Federal University of Goiás, Campus Catalão Catalão-GO, CEP 75704-020, Brazil;2. Interdisciplinary Nucleus of Exact Sciences and Technological Innovation,Federal University of Pernambuco, Campus Agreste, Caruaru-PE CEP. 55002-971, Brazil;1. Laboratoire de Tribologie et Dynamique des Systèmes UMR 5513, Ecole Centrale de Lyon, France;2. Laboratoire de Mécanique des Contacts et des Structures UMR 5259, INSA Lyon, France;1. Industrial Engineering Department, Texas Tech University, Lubbock, TX, USA;2. School of Engineering and Sciences, Tecnológico de Monterrey, Monterrey, Nuevo León, México |
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Abstract: | In this paper, a system identification method for hybrid systems switched by the magnitude of velocity and displacement is proposed. First, it is shown that the regression vector space of a mechanical system switched by the magnitude of velocity cannot be separated by a hyperplane. Then a method based on support vector machines with a polynomial kernel is proposed. The effectiveness of the proposed method is shown by simulations and experiments. |
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