Samenvatting
This paper considers the class of control systems containing so-called split-path nonlinear (SPAN) filters, which are designed to overcome some of the well-known fundamental limitations in linear time-invariant (LTI) control. In this work, we are interested in developing tools for the stability analysis of such systems using frequency-domain techniques. Hereto, we explicitly show the equivalence between a set of linear matrix inequalities (LMIs) with S-procedure terms, guaranteeing stability of the closed-loop (SPAN) system, and a frequency-domain condition. We also provide a systematic procedure for verifying the frequency-domain condition in a graphical manner. The results are illustrated through a nummerical case study.
Originele taal-2 | Engels |
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Pagina's (van-tot) | 301-306 |
Aantal pagina's | 6 |
Tijdschrift | IFAC-PapersOnLine |
Volume | 56 |
Nummer van het tijdschrift | 1 |
DOI's | |
Status | Gepubliceerd - 1 jan. 2023 |
Evenement | 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022 - Canberra, Australië Duur: 4 jan. 2023 → 6 jan. 2023 Congresnummer: 12 |
Bibliografische nota
Funding Information:The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.