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

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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
JournalThe Journal of the Franklin Institute
Early online date10 Jun 2020
DOIs
Publication statusE-pub ahead of print - 10 Jun 2020

Keywords

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

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