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State detection and stability for uncertain dynamical systems

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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))

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Abstract

In this paper, we study the problems of observer configuration and feedback stability for a certain class of uncertain dynamical systems whose nominal part is linear. Under some conditions on the nonlinear part, we show that the system is detectable and stabilizable by a continuous controller. A nonlinear observer can be designed provided that the system is detectable, that guarantees the observation error is globally exponentially stable. This observer design incorporates only the bound of the nonlinearities (uncertainties), and does not require exact knowledge concerning the structure of the plant nonlinearities. Furthemore, a continuous feedback control is proposed to exponentially stabilizes nonlinear dynamical systems using the Lyapunov approach, based on the stabilizability of the nominal system.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences of Sfax, Route Soukra BP 802, 3018, Sfax, Tunisia

    Mohamed Ali Hammami

Authors
  1. Mohamed Ali Hammami
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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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Hammami, M.A. (2001). State detection and stability for uncertain dynamical systems. 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/BFb0110233

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  • DOI: https://doi.org/10.1007/BFb0110233

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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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