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Comments on DAE Theory IRK Methods and Trajectory Optimization

It has been observed elsewhere in the literature that the activation of constraints in a trajectory optimization problem can lead to higher index differential algebraic equations (DAEs). Several existing codes can handle a number of these constrained problems. In this talk we discuss why the situation is more complex than just saying a higher index DAE occurs. The discussion is in the context of a specific industrial code SOCS but the observations made here have relevance for a number of methods and have implications for what types of test problems a code should be tested on and how mesh refinement is carried out. The talk will include some needed background information on DAEs and IRK (Implciit Runge-Kutta) methods so that it should be accessible to a general control audience.
Type of Seminar:
Public Seminar
Prof. Stephen L. Campbell
Department of Mathematics Phone: 1-919-515-3300 Box 8205 FAX: 1-919-515-3798 North Carolina State University email: Raleigh, NC 27695-8205 USA
Sep 06, 1999   17.00

ETH-Zentrum, ETZ E9, Gloriastrasse 35, 8006 Zuerich
Contact Person:

Prof. Frank Allgöwer
No downloadable files available.
Biographical Sketch:
Stephen L. Campbell received his B.A. in mathematics from Dartmouth College, Hanover, N.H., in 1967, and his M.S. and Ph.D. degrees in Mathematics from Northwestern University, Evanston, Illinois, in 1969 and 1972. He is now Professor of Mathematics at North Carolina State University, Raleigh, NC. His current research concerns the numerical solution and analytic behavior of implicit systems of differential equations, such as those arising in electrical circuits and constrained mechanical systems, and their application to control, systems theory, and computer simulation. S. Campbell is a Senior Member of the IEEE, a member of the IEEE Conference Editorial Board, and a member of the SIAM J. Sci. Computing editorial board. He is the coauthor of "Numerical Solution of Initial Value Problems in Differential Algebraic Equations" and three other books on implicit dynamical systems.