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Extended nonlinear observer canonical form depending on system output and auxiliary state

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Abstract

This paper deals with the problem of transforming a single output nonlinear system with an auxiliary dynamics into an extended nonlinear observer canonical form (ENOCF). The proposed ENOCF depends on system output and auxiliary state, and admits a kind of high-gain observer. We provide two necessary conditions and an equivalent condition for the existence of such a transformation, and then apply the results to the Rössler system as a case study.

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Correspondence to Hansung Cho.

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Hansung Cho received his B.S. degree in Mathematics from Seoul National University, Korea, in 2005. He received his Ph.D. degree (the integrated M.S./Ph.D. course) in Electrical Engineering from Seoul National University, Korea in 2014. His research interests include analysis and control of nonlinear systems and hybrid systems.

Jongwook Yang received his B.S., M.S., and Ph.D. degrees in Electrical Engineering from Seoul Nation University, Korea, in 1999, 2001, and 2011, respectively. From 2012 to 2013, he had a position as a post-doctoral researcher at Seoul National University. His research interests include control system theory, robotics, and multi-agent systems.

Jin Heon Seo received his B.S. and M.S. degrees in Electrical Engineering from Seoul National University, Korea, in 1978 and 1980, and his Ph.D. degree in Electrical Engineering from University of California, Los Angeles, in 1985. He served as an Assistant Professor from 1985 to 1989 in the Department of Electrical Engineering at Texas Tech University, Lubbock. Since 1989, he has been with the School of Electrical Engineering at Seoul National University, Seoul, Korea, where he is currently a professor. His research interests include nonlinear systems theory, large scale systems control, and infinite dimensional system theory.

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Cho, H., Yang, J. & Seo, J.H. Extended nonlinear observer canonical form depending on system output and auxiliary state. Int. J. Control Autom. Syst. 13, 25–32 (2015). https://doi.org/10.1007/s12555-013-0479-9

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  • DOI: https://doi.org/10.1007/s12555-013-0479-9

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