California Institute of Technology
Bio:
Jerrold E. Marsden received his PhD from Princeton University in 1968
in Applied Mathematics and is now the Carl F. Braun Professor of
Engineering and Control and Dynamical Systems at Caltech. His primary
current interests are in applied dynamics, control theory, and
multiscale systems, especially how these subjects relate to dynamical
and mechanical systems with symmetry, to numerical algorithms in
computational mechanics, as well as to the dynamics and control of
underwater vehicles in a dynamic ocean environment, and to
astrodynamics and space mission design. He received the AMS-SIAM
Norbert Wiener prize (1990), a Humboldt Senior Scientist award (1991,
1999), a Fairchild Fellowship (1992), a Max Planck Research Award
(2000), and the SIAM von Neumann prize (2005). He is a fellow of the
Royal Society of Canada and the American Academy of Arts and Science.
He is an Editor of Springer-Verlag's Applied Mathematical Sciences
Series and is on the editorial boards for a number of prominent
journals in applied dynamics and mechanics. He currently serves as
director of CIMMS, the Center for Integrative Multiscale Modeling and
Simulation at Caltech, is on the Board of Trustees of SIAM, is on the
Scientific Advisory board of the DFG Research Center ~SMathematics for
Key Technologies~T, Berlin and is the scientific co-chair of ICIAM 2011.
Abstract:
This talk will outline new methods from discrete mechanics for
stabilization and optimization of mechanical systems. The idea of
discrete mechanics is to replace Hamilton's principle, possibly
including dissipative or control forces, by a corresponding discrete
version. These methods have led to the development of successful
variational integrators for the dynamics of mechanical systems,
including continuum mechanics. After reviewing this methodology for
dynamics, we show how it is also useful for control. Optimization is
illustrated using a fleet of hovercraft, underwater vehicles and
spacecraft (with Oliver Junge and Sina Ober-Bloebaum) and for
locomotion problems (with Eva Kanso).
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Prof. Jerrold Marsden -