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Data-Based System Representations From Irregularly Measured Data
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DOI：10.1109/TAC.2024.3423053.png)
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Abstract
En 中文
Nonparametric representations of dynamical systems based on the image of a Hankel matrix of data are extensively used for data-driven control. However, if samples of data are missing, obtaining such representations becomes a difficult task. By exploiting the kernel structure of Hankel matrices of irregularly measured data generated by a linear time-invariant system, we provide computational methods for which any complete finite-length behavior of the system can be obtained. For the special case of periodically missing outputs, we provide conditions on the input such that the former result is guaranteed. In the presence of noise in the data, our method returns an approximate finite-length behavior of the system. We illustrate our result with several examples, including its use for approximate data completion in real-world applications and compare it to alternative methods.
Keywords:
Kernel
Trajectory
Linear systems
Dynamical systems
Noise measurement
Biomedical measurement
Time series analysis
Behavioral system theory
data-based representations
irregular measurements
Journal
IF:
7
Papers:
1.3W
Citations:
6.7W
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Cited Papers
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