TY - GEN
T1 - Using sampled-data dynamic controller to stabilize rotating pulses
AU - Smagina, Yelena
AU - Sheintuch, Moshe
N1 - Funding Information:
★ Supported by the US-Israel Binational Science Foundation. MS is a member of the Minerva Center of Nonlinear Dynamics. YS is partially supported by the Center for Absorption in Science, Ministry of Immigrant Absorption State of Israel.
PY - 2009
Y1 - 2009
N2 - We consider the stabilization of a rotating temperature pulse moving in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching of the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is formed at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-date controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model. The theoretical results are applied to keep a moving solution in the typical loop reactor in which a single exothermic reaction occurs and is confirmed by numerical simulations.
AB - We consider the stabilization of a rotating temperature pulse moving in a continuous asymptotic model of many connected chemical reactors organized in a loop with continuously switching of the feed point synchronously with the motion of the pulse solution. We use the switch velocity as control parameter and design it to follow the pulse: the switch velocity is formed at every step on-line using the discrepancy between the temperature at the front of the pulse and a set point. The resulting feedback controller, which can be regarded as a dynamic sampled-date controller, is designed using root-locus technique. Convergence conditions of the control law are obtained in terms of the zero structure (finite zeros, infinite zeros) of the related lumped model. The theoretical results are applied to keep a moving solution in the typical loop reactor in which a single exothermic reaction occurs and is confirmed by numerical simulations.
UR - http://www.scopus.com/inward/record.url?scp=80051481348&partnerID=8YFLogxK
U2 - 10.3182/20090616-3-IL-2002.0002
DO - 10.3182/20090616-3-IL-2002.0002
M3 - 会议稿件
AN - SCOPUS:80051481348
SN - 9783902661456
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 90
EP - 95
BT - ROCOND'09 - 6th IFAC Symposium on Robust Control Design, Proceedings
T2 - 6th IFAC Symposium on Robust Control Design, ROCOND'09
Y2 - 16 June 2009 through 18 June 2009
ER -