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Nonlinear adaptive state space control for 2 class of nonlinear systems with unknown parameters

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Nonlinear control in the Year 2000

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 258))

Abstract

In this paper, we present an identification method for mechatronic systems consisting of a linear part with unknown parameters and an unknown nonlinearity (systems with an isolated nonlinearity). Based on this identification method we introduce an adaptive state space controller in order to generate an overall linear system behavior. A structured recurrent neural network is used to identify the usknown parameters of the known signal flow chart. The control concept starts from a nonlinear canonical form and takes advantage of the online identified parameters of the plant.

The novelty of this approach is the simultaneous identification of the parameters of the linear part and the nonlinearity, the use of prior structural and parameter knowledge and the ability to completely compensate the nonlinearity.

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Authors

Editor information

Alberto Isidori (Professor)Françoise Lamnabhi-Lagarrigue (Docteur D’état)Witold Respondek (Professor)

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© 2001 Springer-Verlag London Limited

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Hintz, C., Rau, M., Schröder, D. (2001). Nonlinear adaptive state space control for 2 class of nonlinear systems with unknown parameters. In: Isidori, A., Lamnabhi-Lagarrigue, F., Respondek, W. (eds) Nonlinear control in the Year 2000. Lecture Notes in Control and Information Sciences, vol 258. Springer, London. https://doi.org/10.1007/BFb0110236

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  • DOI: https://doi.org/10.1007/BFb0110236

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-363-8

  • Online ISBN: 978-1-84628-568-4

  • eBook Packages: Springer Book Archive

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