Switched state feedback for uncertain continuous-time systems with interval delays

Magdi S. Mahmoud, Yuanqing Xia

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)

Abstract

The objective of this paper is to design a switched robust control for a class of continuous-time systems subject to linear fractional uncertainty and interval time delays. The controller is based on state feedback and the LMI-based stability conditions are derived using an improved Lyapunov-Krasovskii functional. Moreover, the switching rule as well as the state feedback gains are determined from the minimization of a guaranteed cost function. The theoretical results are illustrated with a numerical example.

Original languageEnglish
Pages (from-to)1046-1056
Number of pages11
JournalInternational Journal of Robust and Nonlinear Control
Volume21
Issue number9
DOIs
Publication statusPublished - Jun 2011

Keywords

  • LMIs
  • continuous time-delay systems
  • interval time delays
  • linear fractional uncertainty
  • switched state feedback

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