Brief LQ performance bounds for adaptive output feedback controllers for functionally uncertain nonlinear systems

  • Authors:
  • M. French;Cs. SzepesváRi;E. Rogers

  • Affiliations:
  • Department of Electronics and Computer Science, University of Southampton, Southampton S017 1BJ, UK;Research Group on Artificial Intelligence, Hungarian Academy of Sciences-JATE, Szeged, Hungary;Department of Electronics and Computer Science, University of Southampton, Southampton S017 1BJ, UK

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2002

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Abstract

We consider functionally uncertain systems which can be written in an output feedback form, where the nonlinearities are functions of the output only. The uncertainty is described by a weighted L^2 norm about a nominal system, and an approximate adaptive design is given which ensures output practical stability. The main result requires knowledge of the weighted L^2 uncertainty level. An upper bound on the LQ performance of the output transient and the control input is derived, where the cost penalises the output transient and the control effort on the time interval where the output lies outside the prescribed neighbourhood of zero to which we achieve convergence.