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Fundamental Lemma for Data-Driven Analysis of Linear Parameter-Varying Systems
- Publication Year :
- 2021
-
Abstract
- 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.<br />Comment: Accepted to the 60th Conference on Decision and Control 2021 (CDC2021)
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2103.16171
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1109/CDC45484.2021.9683151