Hinf. - Control of Nonlinear Beam Vibrations

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Abstract

A straight composite beam under the action of a lateral force is considered, where piezoelectric layers are used as actors and sensors to control the excited motion. A nonlinear initial-boundary-value problem for the deflection is derived, which turns out to be an infinite dimensional Hamiltonian AI-system with external inputs. The controller design is based on the hinf. - design by extending this method to the case above. An exact solution of the Hamilton Jacobi Isaacs equation is presentd for a special single input single output system. Numerical simulations show the excellent behavior of the proposed control system.
Original languageEnglish
Title of host publicationProceedings of the Third international Conference on Motion and Vibration Control
Editors Nonami Kenzo
Pages479-484
Number of pages6
Volume3
Publication statusPublished - Sept 1996

Fields of science

  • 101028 Mathematical modelling
  • 202 Electrical Engineering, Electronics, Information Engineering
  • 202003 Automation
  • 202017 Embedded systems
  • 202027 Mechatronics
  • 202034 Control engineering
  • 203015 Mechatronics
  • 102009 Computer simulation
  • 203022 Technical mechanics

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