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Title
Japanese: 
English:On Multi Time-Scale Form of Nonlinear Systems 
Author
Japanese: 関口 和真, 三平 満司.  
English: Kazuma Sekiguchi, Mitsuji Sampei.  
Language English 
Journal/Book name
Japanese: 
English:Proceedings of 9th IFAC Symposium on Nonlinear Control Systems 
Volume, Number, Page         pp. 524-529
Published date Sept. 4, 2013 
Publisher
Japanese: 
English:IFAC 
Conference name
Japanese: 
English:9th IFAC Symposium on Nonlinear Control Systems 
Conference site
Japanese: 
English:Toulouse 
DOI https://doi.org/10.3182/20130904-3-FR-2041.00141
Abstract In general, controller is designed with respect to one time scale. Time-state control form divides a system into virtual time control part and state control part, and the system is linearized based on two time scales; real and virtual time scales. This paper claims that handling of time scales for a control system should be more flexible, and introduces a multi time-scale transformation as a generalization of time scale transformation. As an example, a mechanical system is linearized under two virtual time scales.

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