Einladung zum Vortrag im Kolloquium Technische Kybernetik

  Efficient Polynomial-time Outer Bounds on State Trajectories
for Uncertain Polynomial and Rational Systems

Prof.Dr. Richard Braatz
Department of Chemical Engineering
Massachusetts Institute of Technology
USA

Tuesday, 27. September 2011, 4:00 p.m.
IST-Seminar-Room 3.243 - Pfaffenwaldring 9 - Campus Stuttgart-Vaihingen

Abstract

Outer bounds on the state trajectories for uncertain nonlinear systems have potential applications in robust nonlinear identification, monitoring, and control. The computation of outer bounds that are exact or provably within a pre-specified epsilon of the exact outer bounds is NP-hard. Rigorous polynomial-time outer bounding algorithms can be derived for discrete-time polynomial and rational systems, which commonly arise in chemical and biological applications. Unlike alternative approaches, the numerical algorithms are sufficiently general to handle uncertainties in the initial state, fixed and time-varying parameters and disturbances, and box and ellipsoidal descriptions. The computation of the outer bounds is formulated in terms of the skewed structured singular value, which provides an upper bound on the potential conservatism of the approach. The numerical algorithms are seen to produce tight outer bounds on the state trajectories in numerical examples of an oscillating system, a highly chaotic financial system, and a model biochemical reactor.

This research was in collaboration with Masako Kishida, Philipp Rumschinski, and Rolf Findeisen.

Biographical Information

Richard D. Braatz is the Gilliland Professor of Chemical Engineering at the Massachusetts Institute of Technology where he does research in robust control theory and its application to pharmaceuticals manufacturing, biomedical systems, and nanotechnology. He received MS and PhD degrees from the California Institute of Technology and has consulted or collaborated with more than a dozen companies including IBM, UTC Power, Eli Lilly, and Abbott Laboratories. Honors include the Donald P. Eckman Award from the American Automatic Control Council, the Antonio Ruberti Young Researcher Prize from the IEEE Control Systems Society and the Antonio Ruberti Foundation, the IEEE Transactions on Control Systems Technology Outstanding Paper Award, and the Journal of Process Control Prize Paper Award. He is a Fellow of the Institute of Electrical and Electronics Engineers and the International Federation of Automatic Control.