Robust stabilization for continuous-time systems with slowly time-varying uncertain real parameters

Wassim M. Haddad, Vikram Kapila

Research output: Contribution to journalArticle

Abstract

In this paper the authors construct a new class of parameter-dependent Lyapunov functions to guarantee robust stability in the presence of time-varying rate-restricted plant uncertainty. Extensions to a class of time-varying nonlinear uncertainty that generalize the 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)
Pages (from-to)987-992
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume43
Issue number7
DOIs
StatePublished - 1998

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Continuous time systems
Stabilization
Lyapunov functions
Controllers
Uncertainty
Robust stability

Keywords

  • Absolute stability
  • Popov criterion
  • Real parameter uncertainty
  • Robust stabilization
  • Time-varying uncertainty

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Cite this

Robust stabilization for continuous-time systems with slowly time-varying uncertain real parameters. / Haddad, Wassim M.; Kapila, Vikram.

In: IEEE Transactions on Automatic Control, Vol. 43, No. 7, 1998, p. 987-992.

Research output: Contribution to journalArticle

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