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Dynamic UCO controllers and semiglobal stabilization of uncertain nonminimum phase systems by output feedback

  • Part II Output Feedback Control Design
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Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 244))

Abstract

This chapter presented a simple design method by which it is possible to robustly stabilize, using output feedback, a significant class of uncertain nonlinear systems whose zero dynamics are unstable. The assumption made for such systems was shown to imply the existence of a stabilizing dynamic feedback that is driven by functions that are uniformly completely observable (UCO). In this light, the result for nonminimum phase nonlinear systems was shown to be a special case of the more general result that semiglobal practical asymptotic stabilization by dynamic UCO feedback implies semiglobal practical asymptotic stabilization by dynamic output feedback. The controllers developed in this chapter specifically for nonminimum phase nonlinear systems were compared and contrasted to the controllers that prove the general stabilization result.

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References

  1. A. N. Atassi and H. K. Khalil. A separation principle for the control of a class of nonlinear systems. In Proc. of the 37th IEEE Conf. on Dec. and Contr., pp. 855–860, Dec. 16–18, 1998, Tampa, FL.

    Google Scholar 

  2. A. Isidori. A tool for semiglobal stabilization of uncertain nonminimum phase nonlinear systems via output feedback. preprint, November 1997.

    Google Scholar 

  3. H. K. Khalil and F. Esfandiari. Semiglobal stabilization of a class of nonlinear systems using output feedback. IEEE Trans. on Automatic Control, 38 (1993), pp. 1412–1415.

    Article  MATH  MathSciNet  Google Scholar 

  4. Y. Lin, E. D. Sontag and Y. Wang. A smooth converse Lyapunov theorem for robust stability. In SIAM J. Control and Optimization, 34(1996), pp. 124–160.

    Article  MATH  MathSciNet  Google Scholar 

  5. A. R. Teel and L. Praly. Tools for semiglobal stabilization by partial state and output feedback. SIAM J. Control Optim., vol. 33, no. 5, pp. 1443–1488, September, 1995.

    Article  MATH  MathSciNet  Google Scholar 

  6. A. R. Teel and L. Praly. Global stabilizability and observability imply semi-global stabilizability by output feedback. Systems & Control Letters, vol. 22 (1994) 313–325.

    Article  MATH  MathSciNet  Google Scholar 

  7. A. R. Teel and L. Praly. A smooth Lyapunov function from a class-KL estimate involving two positive semidefinite functions. In preparation.

    Google Scholar 

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H. Nijmeijer T.I. Fossen

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© 1999 Springer-Verlag London Limited

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Isidori, A., Teel, A.R., Praly, L. (1999). Dynamic UCO controllers and semiglobal stabilization of uncertain nonminimum phase systems by output feedback. In: Nijmeijer, H., Fossen, T. (eds) New Directions in nonlinear observer design. Lecture Notes in Control and Information Sciences, vol 244. Springer, London. https://doi.org/10.1007/BFb0109934

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  • DOI: https://doi.org/10.1007/BFb0109934

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  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-134-4

  • Online ISBN: 978-1-84628-536-3

  • eBook Packages: Springer Book Archive

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