ETA 2021 Strategic Plan - Flipbook - Page 79
functions created during Task 2 in order to
speed the identification of stable, and unstable,
grid operation. Task 4 will utilize convex
approximations to develop algorithms for
efficiently characterizing stabilizing/destabilizing
cyber-physical system parameters. Task 4 will
also include validation experiments of stability
characterizations using the simulation testbed
created in Task 1.
The ability to extract such important insight
from high dimensional, nonlinear, and
stochastic dynamic systems in a manner
that obviates solving the system entirely has
several advantages. It enables virtual real-time
contingency analysis for operators of cyberphysical systems. If certain combinations of
cyber-physical system parameters lie near
system stability margins, operators could locate
another operating point in the parameter
space further from the stability threshold.
Moreover, in the event of a cyberattack on
one or more components of a cyber-physical
system that results in unstable system behavior,
operators could quickly locate other points in
the parameter space to return the system to
stability.
Finally, this work hopes to change the way in
which research is conducted in the dynamic
systems and controls community. Presently,
numerical tools to search for Lyapunov
functions are in their infancy, and cannot
produce Lyapunov function approximations
parameterized by dynamic system parameters.
Researchers in these areas are left with little
choice but to attempt to analytically derive
stability-guaranteeing parameter relationships
which, for even modest nonlinear systems, can
be nearly impossible. The proposed research
would allow for the repurposing of vast amounts
of research effort, thereby accelerating the state
of research in dynamic systems and control, as
well as in neighboring fields such as operations
research, machine learning, and statistical
analysis.
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