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Paper detail

Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying Systems

Based on the Fundamental Lemma by Willems et al., the entire behaviour of a Linear Time-Invariant (LTI) system can be characterised by a single data sequence of the system as long the input is persistently exciting. This is an essential result for data-driven analysis and control. In this work, we aim to generalise this LTI result to Linear Parameter-Varying (LPV) systems. Based on the behavioural framework for LPV systems, we prove that one can obtain a result similar to Willems'. Based on an LPV representation, i.e., embedding, of nonlinear systems, this allows the application of the Fundamental Lemma for systems beyond the linear class.

preprint2022arXivOpen access
Chris VerhoekRoland TóthSofie HaesaertAnne Koch
Systems and Controleess.SYmath.OC
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Chris VerhoekRoland TóthSofie HaesaertAnne Koch

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