Title :
Further results on a state observer for continuous oscillating systems under intrinsic pulsatile feedback
Author :
Churilov, Alexander N. ; Medvedev, Alexander ; Shepeljavyi, Alexander I.
Author_Institution :
Fac. of Math. & Mech., St. Petersburg State Univ., Peterhof, Russia
Abstract :
A static gain observer for linear continuous plants with intrinsic pulse-modulated feedback is analyzed. The purpose of the observer is to drive the state estimation error to zero and asymptotically 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.
Keywords :
biology; continuous systems; feedback; matrix algebra; observers; continuous oscillating systems; intrinsic pulsatile feedback; intrinsic pulse-modulated feedback; linear continuous plants; observer error stabilization; observer gain matrix; pulsatile testosterone regulation; pulse modulation sequence asymptotic synchronization; state estimation error; static gain observer; Equations; Jacobian matrices; Mathematical model; Numerical stability; Observers; Stability analysis; Vectors;
Conference_Titel :
Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
Conference_Location :
Orlando, FL
Print_ISBN :
978-1-61284-800-6
Electronic_ISBN :
0743-1546
DOI :
10.1109/CDC.2011.6160287