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When Sampling Works in Data-Driven Control: Informativity for Stabilization in Continuous Time
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DOI：10.1109/TAC.2024.3438348.png)
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Abstract
En 中文
This article 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.
Keywords:
Noise
Trajectory
Noise measurement
Particle measurements
Atmospheric measurements
Time measurement
Linear systems
Data-driven control
linear systems
sampling methods
system identification
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W