L2, H2 guaranteed-cost control of LPV Systems with saturating actuators

Akin Delibasi, Ibrahim Kucukdemiral, Galip Cansever

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The design problem of mixed L2, H2 gain scheduling nonlinear state feedback controller for Linear Parameter Varying (LPV) systems subjected to actuator saturations and L2 bounded disturbances is considered. First, a new formulation of H2 controllers has been presented based on the homogeneous polynomial parameter dependent (HPPD) representation. Then a systematic procedure to generate a sequence of LMI conditions of increasing precision for obtaining a sub-optimal L2, H2 state-feedback controller for LPV systems subject to actuator saturations and L2-bounded disturbances, has been presented. The presented method utilizes the modified sector condition for actuator saturation formalization and HPPD representation of LPV systems.
Original languageEnglish
Title of host publicationProceedings of the 16th Mediterranean Conference on Control and Automation
PublisherIEEE
Pages152-157
Number of pages6
ISBN (Print)9781424425051
DOIs
Publication statusPublished - 19 Aug 2008

Keywords

  • automation
  • actuators
  • hinfin control
  • linear matrix inequalities
  • linear systems
  • nonlinear control systems
  • state feedback
  • suboptimal control

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    Delibasi, A., Kucukdemiral, I., & Cansever, G. (2008). L2, H2 guaranteed-cost control of LPV Systems with saturating actuators. In Proceedings of the 16th Mediterranean Conference on Control and Automation (pp. 152-157). IEEE. https://doi.org/10.1109/MED.2008.4602220