Finite gain stabilization of discrete-time linear systems subject to actuator saturation

Xiangyu Bao, Zongli Lin, Eduardo D. Sontag

Research output: Contribution to journalArticlepeer-review

35 Scopus citations

Abstract

It is shown that, for neutrally stable discrete-time linear systems subject to actuator saturation, finite gain lp stabilization can be achieved by linear output feedback, for all p ∈(1, ∞]. An explicit construction of the corresponding feedback laws is given. The feedback laws constructed also result in a closed-loop system that is globally asymptotically stable, and in an input-to-state estimate.

Original languageEnglish (US)
Pages (from-to)269-277
Number of pages9
JournalAutomatica
Volume36
Issue number2
DOIs
StatePublished - 2000

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Electrical and Electronic Engineering

Keywords

  • Discrete-time linear systems
  • Finite gain stability
  • Input saturation
  • Lyapunov functions

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