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SUMMARY:Recent Advances in Guaranteed Parameter Estimation of Nonlinear Dy
 namic Systems
DTSTART:20140502T101500
DTSTAMP:20260406T172813Z
UID:44e23466a411568beb30ceb8a5bf9763600e719edd84b4c5456767f2
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. Benoît Chachuat\nAmong the available techniques to accoun
 t for uncertainty in parameter estimation\, guaranteed parameter estimatio
 n aims to determine all the parameter values of a model that are consisten
 t with the measurements under given uncertainty scenarios. Our focus in th
 is talk is on nonlinear dynamic systems and we consider the case that the 
 uncertainty enters the estimation problem in the form of bounded measureme
 nt errors. Set-inversion algorithms\, which approximate such parameter set
 s by a box partition at an arbitrary precision\, were first developed for 
 algebraic models in the early 1990s by Moore and Walter et al. using inter
 val analysis\; and not long after were these algorithms extended to dynami
 c systems using ODE bounding techniques. Nonetheless\, seldom can any esti
 mation problem with more than a few uncertain parameters be tackled with s
 uch algorithms. The main computational bottleneck for guaranteed parameter
  estimation in higher-dimensional dynamic systems appears to be the abilit
 y to compute tight bounds on parametric solutions of the dynamic system. I
 n the first part of the talk\, we review recent developments in ODE boundi
 ng techniques based on Taylor models that enjoy higher-order convergence p
 roperties and we illustrate the benefits of these techniques for our probl
 em. Next\, we introduce optimization-based domain reduction techniques in 
 order to enhance the convergence speed of the set-inversion algorithm as w
 ell as simple strategies that avoid recomputing the ODE bounds wherever po
 ssible. A challenging case study in anaerobic digestion is presented for a
  model describing complex liquid-gas transfer and pH self-regulation mecha
 nisms and featuring multiple time scales. The results demonstrate that the
  proposed improvements allow tackling guaranteed parameter estimation in u
 p to seven parameters within reasonable computational times.\nBio: 2010-..
 .  Senior Lecturer\, Department of Chemical Engineering\, Imperial Colleg
 e London\, UK\n2008-2010  Assistant Professor\, Department of Chemical En
 gineering\, McMaster University\, ON\, Canada\n2005-2008  Research Associ
 ate and Lecturer\, Automatic Control Laboratory\, Swiss Federal Institute 
 of Technology in Lausanne (EPFL)\, Switzerland\n2003-2005  Postdoctoral A
 ssociate\, Department of Chemical Engineering\, Massachusetts Institute of
  Technology\, MA\, USA\n2002-2003  Postdoctoral Associate\, COMORE Team\,
  INRIA Sophia-Antipolis\, France\n1998-2002  Research and Teaching Assist
 ant\, LSGC-CNRS\, Lorraine Institute of Technology (INPL)\, Nancy\, France
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STATUS:CONFIRMED
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