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Nonlinear Output Regulation: Exploring Non-minimum Phase Systems

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Three Decades of Progress in Control Sciences

Summary

The present paper presents a new contribution to the design of output regulators for a class of nonlinear systems characterized by a possibly unstable zero dynamics. It is shown how the problem in question is handled by addressing a stabilization problem for a suitably defined reduced auxiliary plant.

Dedicated to Chris Byrnes and Anders Linquist, outstanding scientists and most dear friends.

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References

  1. Byrnes, C.I., Isidori, A.: Limit sets, zero dynamics and internal models in the problem of nonlinear output regulation. IEEE Trans. on Automatic Control 48, 1712–1723 (2003)

    Article  MathSciNet  Google Scholar 

  2. Byrnes, C.I., Isidori, A.: Nonlinear Internal Models for Output Regulation. IEEE Trans. Automatic Control 49, 2244–2247 (2004)

    Article  MathSciNet  Google Scholar 

  3. Byrnes, C.I., Delli Priscoli, F., Isidori, A.: Output regulation of uncertain nonlinear systems. Birkhäuser, Boston (1997)

    Book  MATH  Google Scholar 

  4. Delli Priscoli, F., Marconi, L., Isidori, A.: A New Approach to Adaptive Nonlinear Regulation. SIAM J. Control and Optimization 45, 829–855 (2006)

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  5. Delli Priscoli, F., Marconi, L., Isidori, A.: A A dissipativity-based approach to output regulation of non-minimum phase systems. Systems and Control Letters 58, 584–591 (2009)

    Article  MathSciNet  MATH  Google Scholar 

  6. Isidori, A., Byrnes, C.I.: Output regulation of nonlinear systems. IEEE Trans. Automatic Control 25, 131–140 (1990)

    Article  MathSciNet  Google Scholar 

  7. Marconi, L., Praly, L., Isidori, A.: Output Stabilization via Nonlinear Luenberger Observers. SIAM J. Control and Optimization 45, 2277–2298 (2006)

    Article  MathSciNet  Google Scholar 

  8. Marconi, L., Isidori, A., Serrani, A.: Non-resonance conditions for uniform observability in the problem of nonlinear output regulation. Systems & Control Lett. 53, 281–298 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  9. Pavlov, A., van de Wouw, N., Nijmeijer, H.: Uniform Output Regulation of Nonlinear Systems: a Convergent Dynamics Approach. Birkhauser, Boston (2006)

    MATH  Google Scholar 

  10. Serrani, A., Isidori, A., Marconi, L.: Semiglobal nonlinear output regulation with adaptive internal model. IEEE Trans. Automatic Control 46, 1178–1194 (2001)

    Article  MathSciNet  MATH  Google Scholar 

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Delli Priscoli, F., Isidori, A., Marconi, L. (2010). Nonlinear Output Regulation: Exploring Non-minimum Phase Systems. In: Hu, X., Jonsson, U., Wahlberg, B., Ghosh, B. (eds) Three Decades of Progress in Control Sciences. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11278-2_10

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  • DOI: https://doi.org/10.1007/978-3-642-11278-2_10

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-11277-5

  • Online ISBN: 978-3-642-11278-2

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