Robust disturbance rejection for discrete-time systems having magnitude and rate bounded inputs

Ibrahim B. Kucukdemiral*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
215 Downloads (Pure)

Abstract

The design of a robust controller for uncertain discrete-time systems subject to bounded disturbances and having magnitude and rate bounded actuators is considered. To tackle the problem, the proposed method utilises nested ellipsoids and employs an incremental (velocity) form of the state-space model of the system. By using modified full block S-procedure, the proposed robust control design approach is applicable to any uncertain system with rational parameter dependence which cannot be managed by the existing approaches without introducing some extra conservatism. Finally, an algorithm that allows the method to be used as a gain-scheduling controller is also noted in the study.
Original languageEnglish
Pages (from-to)8252-8276
Number of pages25
JournalThe Journal of the Franklin Institute
Volume357
Issue number12
Early online date10 Jun 2020
DOIs
Publication statusPublished - Aug 2020

Keywords

  • disturbance rejection
  • attractive ellipsoid
  • invariant ellipsoids
  • linear matrix inequalities
  • robust control
  • gain-scheduling control
  • full-block s-procedure

ASJC Scopus subject areas

  • Signal Processing
  • Applied Mathematics
  • Control and Systems Engineering
  • Computer Networks and Communications

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