Abstract
In this paper, the higher-order sinusoidal-input describing function (HOSIDF) of the fractional-order hybrid integrator-gain system (HIGS) is derived analytically. The HIGS element, designed as a nonlinear component, aims to overcome limitations inherent in linear control, such as the waterbed effect. The HIGS element has been generalized by replacing the integer-order integrator with a fractional one. Here, a modified version of the fractional-order HIGS (FO-HIGS) is introduced with the aim of shaping the nonlinearity at low frequencies. Additionally, this paper demonstrates that obtaining an analytical solution for the HOSIDF of the FO-HIGS enables us to gain better insight into the tuning of the control architecture.
| Original language | English |
|---|---|
| Pages (from-to) | 400-405 |
| 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 |
Keywords
- Hybrid integrator-gain systems
- Frequency domain analysis
- Fractional-order systems
- Higher-order sinusoidal-input describing function
- PID controllers