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SUMMARY:Economic MPC and the role of exponential turnpike properties - Pro
 fessor. Dr. Lars Gruene\, Chair of Applied Mathematics\, Bayreuth Universi
 ty
DTSTART:20120518T130000Z
DTEND:20120518T140000Z
UID:TALK37984@talks.cam.ac.uk
CONTACT:Dr Jason Z JIANG
DESCRIPTION:We consider model predictive control (MPC) schemes in which th
 e stage cost is not necessarily related to a stabilization or tracking pro
 blem. In particular\, it does not need to be sign definite and the minimum
  of the stage cost does not need to be an equilibrium of the\ncontrolled d
 ynamics. We investigate whether MPC without terminal constraints is able t
 o produce approximately infinite horizon optimal closed loop solutions and
  to reproduce the optimal trajectories. We show that - along with suitable
  regularity and dissipativity conditions - a so called turnpike property c
 an be used in order to conclude such results and explain why exponential t
 urnpike properties are particularly\nuseful in this context. Motivated by 
 this result\, we present a sufficient condition for such an exponential tu
 rnpike property.\n
LOCATION:Cambridge University Engineering Department\, LR5
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