Behavioral systems theory in data-driven analysis, signal processing, and control
نویسندگان
چکیده
The behavioral approach to systems theory, put forward 40 years ago by Jan C. Willems, takes a representation-free perspective of dynamical system as set trajectories. Till recently, it was an unorthodox niche research but has gained renewed interest for the newly emerged data-driven paradigm, which is uniquely suited due paired with recently developed computational methods. A result derived in setting that became known fundamental lemma started new class subspace-type gives conditions non-parametric representation linear time-invariant image Hankel matrix constructed from raw time series data. This paper reviews lemma, its generalizations, and related analysis, signal processing, control prototypical processing problem, reviewed paper, missing data estimation. It includes simulation, state estimation, output tracking special cases. direct methods using are loosely classified implicit explicit approaches. Representative examples data-enabled predictive (an method) quadratic regulation method). These equally amenable certainty-equivalence well robust control. Emphasis on robustness under noise. allow theoretical certification, they computationally tractable, comparison machine learning require small amount data, robustly implementable real-time complex physical systems.
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ژورنال
عنوان ژورنال: Annual Reviews in Control
سال: 2021
ISSN: ['1872-9088', '1367-5788']
DOI: https://doi.org/10.1016/j.arcontrol.2021.09.005