Brief paper: A state observer for continuous oscillating systems under intrinsic pulse-modulated feedback

  • Authors:

  • Alexander Churilov;Alexander Medvedev;Alexander Shepeljavyi

  • Affiliations:

  • Department of Computer Science, St. Petersburg Marine Technical University, Lotsmanskaya str. 3, 190008, St. Petersburg, Russia;Information Technology, Uppsala University, SE-751 05 Uppsala, Sweden;Faculty of Mathematics and Mechanics, St. Petersburg State University, Universitetsky av. 28, Peterhof, 198504, St. Petersburg, Russia

  • Venue:
  • Automatica (Journal of IFAC)
  • Year:
  • 2012

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Abstract

A static gain observer for linear continuous plants with intrinsic pulse-modulated feedback is analyzed. The purpose of the observer is to asymptotically drive the state estimation error to zero and synchronize the sequence of pulse modulation instants estimated by the observer with that of the plant. Conditions on the observer gain matrix locally stabilizing the observer error along an arbitrary periodic plant solution are derived and illustrated by simulation for the case of pulsatile testosterone regulation.