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 language | English |
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Pages (from-to) | 382-387 |
Number of pages | 6 |
Journal | IFAC-PapersOnline |
Volume | 58 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2024 |
Event | 4th IFAC Conference on Advances in Proportional-Integral-Derivate Control, PID 2024 - Almeria, Spain Duration: 12 Jun 2024 → 14 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