Jorge Cortés
Professor
Cymer Corporation Endowed Chair
When sampling works in data-driven control:
informativity for stabilization in continuous time
J. Eising, J. Cortés
IEEE Transactions on Automatic Control, submitted
Abstract
This paper introduces a notion of data informativity
for stabilization tailored to continuous-time
signals and systems. We establish results comparable
to those known for discrete-time systems with
sampled data. We justify that additional
assumptions on the properties of the noise signals
are needed to understand when sampled versions of
continuous-time signals are informative for
stabilization, thereby introducing the notions of
square Lipschitzness and total bounded
variation. This allows us to connect the continuous
and discrete domains, yielding sufficient conditions
to synthesize a stabilizing controller for the true
continuous-time system on the basis of sampled
data. Simulations illustrate our results.
pdf
Mechanical and Aerospace Engineering,
University of California, San Diego
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