Sponsored by the Danish Research Academy
Linear and Nonlinear Prediction, Filtering and Control
of Dynamical Systems
by Kenneth Showalter
Department of Chemistry
West Virginia University
Morgantown, WV 26506-6045
U.S.A.
MIDIT-seminar No. 404
Wednesday, April 15, 14:00 h
at MIDIT, IMM Building 305, room 027
Abstract
Feedback methods for stabilizing unstable states will be described and
applications to chemical systems will be presented. Controlling states
with more than one unstable direction remains an important
challenge. Such states are common in spatially extended systems, and
techniques beyond those developed for low-dimensional systems are
required for controlling spatiotemporal chaos. A method for
stabilizing and characterizing states with many unstable degrees of
freedom will be described. This method provides an explicit connection
between phase-space approaches and the linear control routines of
classical single-input, single-output systems.
Nonlinear prediction, filtering and control is carried out by using
time series to create an invariant hypersurface in the delayed state
space. This can be used to drive a system to any particular objective
state or to extract low-dimensional deterministic signals such as the
time series of one observable from the time series of the another.