A Nonlinear Integrator Based on the First-Order Reset Element

Luke F. van Eijk*, Yixuan Liu*, Xinxin Zhang*, Dragan Kostić, S. Hassan HosseinNia*

*Corresponding author for this work

Research output: Contribution to journalConference articleScientificpeer-review

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Abstract

This work proposes a novel nonlinear Proportional-Integral (PI) controller, which utilizes a generalized first-order reset element. The proposed element can achieve similar magnitude-characteristics as its linear counterpart but with less phase lag at the open-loop crossover frequency (i.e. the control bandwidth), according to a sinusoidal-input describing function (SIDF) analysis. The same can be achieved with an existing reset-based integrator, the Clegg integrator (CI). However, it is known that a Proportional-CI (PCI) element can excessively generate higher-order harmonics of its input, which are neglected in the SIDF-analysis. Furthermore, a PCI can cause a limit cycle when placed in closed-loop with certain types of plants. The novel PI controller proposed in this work can prevent the limit cycle and can reduce the generation of higher-order harmonics, while retaining the beneficial phase advantage that is associated with existing reset-based PI controllers.

Original languageEnglish
Pages (from-to)382-387
Number of pages6
JournalIFAC-PapersOnline
Volume58
Issue number7
DOIs
Publication statusPublished - 2024
Event4th IFAC Conference on Advances in Proportional-Integral-Derivate Control, PID 2024 - Almeria, Spain
Duration: 12 Jun 202414 Jun 2024

Bibliographical note

Publisher Copyright:
Copyright © 2024 The Authors.

Keywords

  • frequency-domain
  • higher-order harmonics
  • limit cycle
  • nonlinear feedback control
  • PI control
  • reset control

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