Design and analysis of stable differentiator-predictor

Wang, Xinhua

Abstract

In this paper, the phase lead by the general phase-lead compensator is analysed, and a criterion of its parameters selection is proposed. In order to get the relatively large time-interval prediction for stochastic signal, two types of differentiator-predictors are presented to estimate future signal and its derivatives: linear high-gain differentiator-predictor and nonlinear differentiator-predictor. Furthermore, a nonlinear extended differentiator-predictor is designed for future estimation and chattering rejection. The stability analysis of differentiator-predictors is described in time domain. The iterative transfer function method is proposed to analyse the robustness in frequency domain, and the rules of differentiator-predictor parameters selection are presented. The analysis shows that the nonlinear differentiator-predictor has stronger adaptability and robustness than the linear high-gain differentiator-predictor. Simulations demonstrate the effectiveness of the proposed methods.

Citation

Wang, X. (2022). Design and analysis of stable differentiator-predictor. International Journal of Control, 95(5), 1228-1250. https://doi.org/10.1080/00207179.2020.1847326

• Journal Article Type: Article
• Acceptance Date: Nov 1, 2020
• Online Publication Date: Nov 20, 2020
• Publication Date: Jan 1, 2022
• Deposit Date: Mar 5, 2021
• Publicly Available Date: Nov 21, 2021
• Journal: International Journal of Control
• Print ISSN: 0020-7179
• Electronic ISSN: 1366-5820
• Publisher: Taylor and Francis
• Peer Reviewed: Peer Reviewed
• Volume: 95
• Issue: 5
• Pages: 1228-1250
• DOI: https://doi.org/10.1080/00207179.2020.1847326
• Keywords: Phase-lead compensator; (extended) differentiator-predictor; future signal and its derivatives
• Public URL: https://nottingham-repository.worktribe.com/output/5367535
• Publisher URL: https://www.tandfonline.com/doi/full/10.1080/00207179.2020.1847326
• Additional Information: Peer Review Statement: The publishing and review policy for this title is described in its Aims & Scope.; Aim & Scope: http://www.tandfonline.com/action/journalInformation?show=aimsScope&journalCode=tcon20; Received: 2020-01-14; Accepted: 2020-11-01; Published: 2020-11-20