PDE control of a rotating shear beam with boundary feedback

Mustafa Dogan, Omer Morgul

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results.

Original languageEnglish
Title of host publication2009 European Control Conference, ECC 2009
PublisherInstitute of Electrical and Electronics Engineers Inc.
Number of pages6
ISBN (Electronic)9783952417393
Publication statusPublished - 26 Mar 2014
Externally publishedYes
Event2009 10th European Control Conference, ECC 2009 - Budapest, Hungary
Duration: 23 Aug 200926 Aug 2009

Publication series

Name2009 European Control Conference, ECC 2009


Conference2009 10th European Control Conference, ECC 2009

Bibliographical note

Publisher Copyright:
© 2009 EUCA.


  • Backstepping
  • Boundary control
  • Flexible systems
  • Kernel functions
  • Partial differential equations
  • Shear beam
  • Volterra transformation


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