MIT Department of Electrical Engineering & Computer Science
Nonlinear Analysis: A Robust Control Approach
Prof. Alexandre Megretski
Iowa State University
Thursday, April 25, 1996
4:15 PM (4:00 refreshments)
RLE Conference Room, 36-428
EECS Special Seminar
Abstract
Will the theory of nonlinear control benefit from using the
techniques of robustness analysis? The two apparently most
exploited tools of the nonlinear system theory are Lyapunov
functions and "small perturbation" arguments. Robust control
has provided general and efficient methods of constructing Lyapunov
functions for complex nonlinear systems in situations when
such functions are very difficult to find in any other way.
One such method uses information about re-distribution of energy
in the spectrum of the output of a nonlinear system, expressed in terms
of frequency weighted quadratic inequalities. As far as the
"small perturbation" arguments are concerned, robustness analysis
can be generally viewed as a way of finding the maximal size of a
structured perturbation which does not produce a significant
change in the dynamical behavior of a system.
In particular, the search for less conservative conditions of
robust asymptotic stability has produced methods which can be used
to prove preservation of the phase portrait for nonlinear
systems subject to large perturbations.
A significant improvement of nonlinear feedback
system analysis and design can be achieved by applying robust
control methods. In the presentation, basic concepts of the emerging
approach will be discussed, including the principles of system
modeling and analysis, as well as applications to self-tuning,
stability of nonlinear oscillations, gain-scheduling,
and control with actuator saturation.
URL of this page:
http://www-eecs.mit.edu/AY95-96/events/42.html
Created: Apr 1, 1996
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Modified: Jun 25, 1997
This announcement is from the MIT EECS 1995-96 archive.
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