Phase Limitations of Multipliers at Harmonics
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The absolute stability of a Lurye system with a monotone nonlinearity is guaranteed by the existence of a suitable O'Shea–Zames–Falb (OZF) multiplier. We develop a numerically tractable phase condition under which there can be no suitable OZF multiplier for the transfer function of a given continuous-time plant. We provide its graphical interpretation. The condition may be tested in a systematic manner and leads to significantly improved results compared with the condition in the literature from which it is derived. Our results are useful to evaluate the performance of numerical searches for OZF multipliers
| Original language | Unknown |
|---|---|
| Pages (from-to) | 566–573 |
| Journal | IEEE Transactions on Automatic Control |
| Volume | 69 |
| Issue number | 1 |
| Early online date | 1 May 2023 |
| DOIs | |
| Publication status | Published - 1 Jan 2024 |
| Externally published | Yes |