| | |
Summary: The Center for Control, Dynamical Systems, and Computation
University of California at Santa Barbara
Winter 2009 Seminar Series
Presents
Information-theoretic Paradigms for Modeling and Control
of Dynamical Systems
Prashant Mehta
University of Illinois at Urbana-Champaign
Friday, February 27, 2009 3:00 - 4:00pm Chem 1171
Abstract:
This talk is concerned with information theoretic approaches for control-oriented
performance and robustness analysis of nonlinear dynamical systems. The mathematical
foundation shares common roots including Markov models of nonlinear systems and use
of information theoretic metrics such as entropy of stochastic processes. We discuss
extensions of fundamental performance limitations (Bode formula) to control of nonlinear
systems. For robustness analysis, we outline a prediction-based approach for comparing
dynamical systems. An information theoretic metric is described to compare systems in
terms of additional uncertainty that results for the prediction problem with an incorrect
choice of the model. The latter is related to and inspired by T. Georgiou's recent work on
information geometry of spectral densities. Applications to jet engines and biology are
|
