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U of M College of Engineering Control Seminar Series Sponsored by Ford Motor Company, General Motors, and Whirlpool |
N-Squared Diagrams, Discrete Event Plant Models and
Controller Design: The View from AerospaceÓ
Dr. Patrick Sain
Raytheon
Abstract: N-squared diagrams are a form of state
chart historically used in the aerospace industry to document discrete event
systems. The diagrams lend themselves to a
specialized state-space matrix description utilizing Boolean functions that is similar in several ways
to the familiar form found in
classical control. Naturally, this
begs the question of whether
various state-space results can be adapted to for this framework. This talk presents an overview of the
n-squared approach in practice,
and then extends the model to consider topics of specific interest, including
reachability, detectability, disturbance rejection and stability as applied to
highly reliable and complex multi-processor systems. In
order to keep problems tractable, a hierarchical plant and controller design is
enforced. To date, this approach
has been used on systems with approximately 100 operational states, many of
which can be in operation simultaneously, and over 600 possible transitions.
3:30 – 4:30 p.m.