DOI

The present investigation focuses on the output energy control of the nonlinear sine-Gordon model in a practical situation where only spatially sampled sensing and actuation are available. The speed-gradient method that has corroborated its utility for the sine-Gordon model, controlled through the manipulable parameters of the external field and boundary actuation, is now generalized to the spatially sampled sensing and actuation, aiming to pump/dissipate the energy of the model to a desired level. Luenberger-type observers are additionally developed in the present nonlinear PDE setting to be involved into the output feedback synthesis over collocated state (position and/or velocity) measurements. Capabilities of the proposed synthesis are illustrated in numerical simulations.

Original languageEnglish
Article number8733021
Pages (from-to)1484-1498
Number of pages15
JournalIEEE Transactions on Automatic Control
Volume65
Issue number4
DOIs
StatePublished - Apr 2020

    Research areas

  • Energy control, sine-Gordon equation, speed gradient

    Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

ID: 75994970