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

Wassim M. Haddad, Vikram Kapila

Research output: Contribution to journalArticle

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)
Pages (from-to)71-84
Number of pages14
JournalJournal of the Franklin Institute
Volume333
Issue number1
DOIs
StatePublished - Jan 1996

Fingerprint

Robust Stabilization
Discrete-time Systems
Time-varying
Stabilization
Uncertainty
Lyapunov functions
Parameter-dependent Lyapunov Function
Robust Stability
Controllers
Discrete-time
Synthesis
Controller
Generalise
Class
Robust stability

ASJC Scopus subject areas

  • Signal Processing
  • Information Systems and Management
  • Control and Systems Engineering
  • Electrical and Electronic Engineering
  • Applied Mathematics
  • Control and Optimization
  • Modeling and Simulation

Cite this

Robust stabilization for discrete-time systems with slowly time-varying uncertainty. / Haddad, Wassim M.; Kapila, Vikram.

In: Journal of the Franklin Institute, Vol. 333, No. 1, 01.1996, p. 71-84.

Research output: Contribution to journalArticle

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