Phase Limitations of Multipliers at Harmonics

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Dangosydd eitem ddigidol (DOI)

  • William P. Heath
    The University of Manchester
  • Joaquin Carrasco
    The University of Manchester
  • Jingfan Zhang
    University of Manchester
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
Iaith wreiddiolAnadnabyddus
Tudalennau (o-i)566–573
CyfnodolynIEEE Transactions on Automatic Control
Cyfrol69
Rhif y cyfnodolyn1
Dyddiad ar-lein cynnar1 Mai 2023
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 1 Ion 2024
Cyhoeddwyd yn allanolIe
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