Colloquium March 21
Date: Friday March 21
Time: 16:00 to 17:00
Place: 216 McBryde
Speaker: Visitor's Day: Katie Camp and Jacob Siehler
Title: Reduced Order Controllers via Balancing Techniques for Distributed Parameter Systems.
Shall I Compare Thee to an Object in a Monoidal Category?
Abstracts
Katie Camp:
The need for practical, robust, real-time controllers for
physical systems presents a challenge, especially when the problem at
hand is modeled by a partial differential equation (PDE). The
standard
techniques for robust controller design for PDE systems in the state
space yield controllers that are inherently large-scale, and thus a
reduction in size must take place at some point. In this
presentation,
I will outline two different reduction methods, balanced realization
and
LQG balancing, both with truncation. I will also present numerical
results comparing performance and robustness properties of the closed
loop systems using both techniques.
Jacob Siehler:
Categories with tensor products ("monoidal categories") are
beginning to play a central role in low-dimensional topology. We
will
discuss how nice features of a tensor product can model topology
(particularly knots, links, and braids), and the problem of finding
interesting monoidal categories.
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