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On the robustness of jump linear quadratic control

  • École Polytechnique de Montréal

Research output: Contribution to journal › Article › peer-review

7 Citations (Scopus)

Abstract

This paper deals with the problem of how to render the jump linear quadratic (JLQ) control robust. Mainly, we present sufficient conditions for quadratic stabilization and guaranteed cost control of uncertain jump linear system using state feedback control. The proposed control law contains two components. The first one is a JLQ control law, while the second is a nonlinear bounded term to render the system robust and whose cost is not included in the performance index.

Original languageEnglish
Pages (from-to)899-910
Number of pages12
JournalInternational Journal of Robust and Nonlinear Control
Volume7
Issue number10
DOIs
Publication statusPublished - Oct 1997

Keywords

  • Guaranteed cost control
  • Jump linear quadratic regulator
  • Markov process
  • Piecewise deterministic system
  • Stochastic stability

ASJC Scopus subject areas

  • Control and Systems Engineering
  • General Chemical Engineering
  • Biomedical Engineering
  • Aerospace Engineering
  • Mechanical Engineering
  • Industrial and Manufacturing Engineering
  • Electrical and Electronic Engineering

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