Robust stabilization for discrete-time systems with slowly time-varying uncertainty

Wassim M. Haddad, Vikram Kapila

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

In this paper we construct a new class of parameter-dependent Lyapunov functions for discrete-time systems to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalizes the discrete-time multivariable Popov criterion are also considered. These results are then used for controller synthesis to address the problem of robust stabilization in the presence of slowly time-varying real parameters.

Original languageEnglish (US)
Title of host publicationProceedings of the IEEE Conference on Decision and Control
PublisherIEEE
Pages202-207
Number of pages6
Volume1
StatePublished - 1995
EventProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4) - New Orleans, LA, USA
Duration: Dec 13 1995Dec 15 1995

Other

OtherProceedings of the 1995 34th IEEE Conference on Decision and Control. Part 1 (of 4)
CityNew Orleans, LA, USA
Period12/13/9512/15/95

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ASJC Scopus subject areas

  • Chemical Health and Safety
  • Control and Systems Engineering
  • Safety, Risk, Reliability and Quality

Cite this

Haddad, W. M., & Kapila, V. (1995). Robust stabilization for discrete-time systems with slowly time-varying uncertainty. In Proceedings of the IEEE Conference on Decision and Control (Vol. 1, pp. 202-207). IEEE.