Abstract
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.
| Original language | English |
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| Pages (from-to) | 301-306 |
| Number of pages | 6 |
| Journal | IFAC-PapersOnLine |
| Volume | 56 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2023 |
| Event | 12th IFAC Symposium on Nonlinear Control Systems, NOLCOS 2022 - Canberra, Australia Duration: 4 Jan 2023 → 6 Jan 2023 Conference number: 12 |
Bibliographical note
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.
Funding
The research leading to these results has received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.