Analysis of Wiener-Hammerstein models



Summary

Wiener-Hammerstein systems often arise in the black box approach to identification of nonlinear systems. Wiener-Hammerstein systems consist of linear dynamical blocks and static nonlinearities that are interconnected in series, parallel or in feedback. While this class of systems is extensively used in identification, control theoretic properties of these systems, such as controllability and observability, are not well understood. We presented a range of results on controllability, observability and stabilizability of different classes of Weiner-Hammerstein systems. Since these classes of systems have structure that is close to linear, the controllability and observability tests that we obtain are rather easy to interpret and simple to check.

Collaborators

  • Prof. I.M.Y. Mareels
  • Prof. G. Bastin
  • Selected publications

  • D. Nesic, "A note on controllability of generalized Hammerstein systems", Sys. Contr. Lett., vol. 29, No. 4 (1997), pp. 223-231.
  • D. Nesic and I. M. Y. Mareels, "Dead beat control of simple Hammerstein systems", IEEE Trans. Automat. Contr., vol. 43, No. 8 (1998), pp. 1184-1189.
  • D. Nesic, "A note on observability for general polynomial and simple Wiener-Hammerstein systems", Sys. Contr. Lett., vol. 35, No. 4 (1998), pp. 219-227.
  • D. Nesic, "Controllability for a class of simple Wiener-Hammerstein systems", Sys. Contr. Lett., vol. 36, No. 1 (1999), pp. 51-59.
  • D. Nesic and G. Bastin, "Stabilizability and dead-beat controllers for two classes of Wiener-Hammerstein systems", IEEE Trans. Automat. Contr., vol. 44, No. 11 (1999), pp. 2068-2072.
  • D. Nesic, "Controllability for a class of parallelly connected polynomial systems", Math. Contr. Sign. Syst., vol. 12 (1999), pp. 270-294.
  • D. Nesic, "Output feedback stabilization of a class of Wiener systems", IEEE Trans. Automat. Contr., vol. 45, No. 9 (2000), pp. 1727-1731.