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On the Convergence of Sampled Data Nonlinear Systems

In: Differential Equations Theory, Numerics and Applications

Author

Listed:
  • P. Astuti

    (Institut Teknologi Bandung, Jurusan Matematika)

  • M. Corless

    (School of Aeronautics Purdue University)

  • D. Williamson

    (The Faculties, Australian National University, Department of Engineering)

Abstract

The effect of sampling on the convergence of closed loop continuous systems is investigated. The systems under consideration are nonlinear containing parameter uncertainties. It is shown that the discretized of a converging controller results in convergence of the sampled data closed loop system; i.e., a nonlinear continuous-time system subject to a discrete controller; if the sampling time is in an open set and the continuous plant satisfies certain Lipschitz type conditions. The results are derived for both global and local convergences.

Suggested Citation

  • P. Astuti & M. Corless & D. Williamson, 1997. "On the Convergence of Sampled Data Nonlinear Systems," Springer Books, in: E. van Groesen & E. Soewono (ed.), Differential Equations Theory, Numerics and Applications, pages 201-210, Springer.
    • Handle: RePEc:spr:sprchp:978-94-011-5157-3_10
    DOI: 10.1007/978-94-011-5157-3_10
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