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Large-Scale Optimization of Differential-Algebraic Systems

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Abstract:
Recent advances in large-scale numerical methods and optimization have made it possible to consider much more challenging design, control and operations problems engineering. In particular, the simulation and analysis of the dynamic behavior of has become an important tool in the design and operation of complex enigneering systems. This talk focuses on the extension of process optimization to consider differential-algebraic models. This problem has a number of interesting challenges including the occurrence of state variable constraints and accurate control profiles. Moreover, through the additional of variational inequalities and complementarity conditions, a number of discrete phenomena present in hybrid systems can also be modeled. Finally, large-scale systems lead to large-scale optimization problems and these must be solved in an efficient manner. In this talk we present a barrier method for this task that allows for an efficient, noncombinatorial treatment of inequalities as well as the treatment of a class of discrete decisions. Several process examples will be presented that illustrate the potential for dynamic optimization in process engineering, aerospace and metabolic engineering. These include examples in design, process operation and control, and the integration of DAE models and dynamic behavior within process optimization. Further work and extensions for research in this area will also be discussed.

http://www.iew.unizh.ch/seminars/quantitativemethods/ss04/index.html
Type of Seminar:
Public Seminar
Speaker:
Prof. Lorenz T. Biegler
Chemical Engineering Department, Carnegie Mellon University, Pittsburgh, PA 15213 , USA
Date/Time:
Jan 17, 2005   16:15
Location:

University of Zurich, Room: KO2-F-172
Contact Person:

Prof. M.Morari
No downloadable files available.
Biographical Sketch:
Lorenz T. (Larry) Biegler is currently the Bayer Professor of Chemical Engineering at Carnegie Mellon University, which he joined after receiving his PhD from the University of Wisconsin in 1981. His research interests are in the areas of computer aided process analysis and design and include flowsheet optimization, optimization of systems of differential and algebraic equations, reactor network synthesis and algorithms for constrained, nonlinear process control. He has been a visiting scholar at Lehigh University and at Northwestern University, a scientist in residence at Air Products and Chemicals, Inc., and Argonne National Lab, a Distinguished Faculty Visitor at the University of Alberta, a visiting professor at the Universidad Nacional del Sur (Argentina) and EPFL as well as a Gambrinus Fellow at the University of Dortmund. He has authored over 200 technical publications, edited five monographs and coauthored a textbook on process design.