Designing reduced-dimension controller of differential-algebraic system by criterion of H2-optimization

  • Authors:
  • O. Yu. Torgashova;O. E. Shvorneva

  • Affiliations:
  • Gagarin State Technical University, Saratov, Russia;Gagarin State Technical University, Saratov, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2014

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Abstract

The problem of designing an H2-optimal control was solved for the differentialalgebraic system. The controller is based on the minimal-dimension observer. Solution of the design problem comes to solving two Riccati equations having one the order of the dimension of the "slow" subsystem of the original differential-algebraic system and the other, a reduced order. The resulting controller was represented in the class of ordinary systems, which simplifies its realization. An example of designing an H2-optimal controller was given.