Notch filter-based repetitive controller for a class of linear systems with time-varying periodic signals

Kurniawan, Edi, Az-Zukruf, Amaliyah, Pratiwi, Enggar B., Purwowibowo, Purwowibowo, Wijonarko, Sensus, Maftukhah, Tatik, Prakosa, Jalu A., Rustandi, Dadang and Hananto, Farid Samsu ORCID: https://orcid.org/0000-0002-0305-5803 (2025) Notch filter-based repetitive controller for a class of linear systems with time-varying periodic signals. Journal of Control and Decision, 20. ISSN 23307714

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Abstract

This paper presents the discrete-time design of a notch filter-based repetitive controller (NFRC) for linear systems subject to periodic references and disturbances with uncertain and time-varying frequencies. This design is crucial because conventional repetitive controllers (CRC) struggle to handle such signals due to their reliance on precise period information, with slight variations degrading tracking and rejection performance. To address these challenges, the NFRC is proposed and implemented through two key steps. First, inverse models of discrete-time notch filters with larger bandwidths are integrated to replace CRC's internal model, targeting specific reference and disturbance frequencies. Second, a compensator is designed ensuring the stability of the closed-loop system. The stability analysis of the closed-loop system with the proposed NFRC is also provided in this paper. Numerical simulations demonstrate that the NFRC significantly outperforms CRC and higher-order RC (HRC) in terms of accuracy, transient response, and robustness to period uncertainties.

Item Type:	Journal Article
Keywords:	Repetitive controller; notch-filter; internal model; periodic signal; time-varying periodic signal; uncertain period
Subjects:	02 PHYSICAL SCIENCES > 0299 Other Physical Sciences > 029904 Synchrotrons; Accelerators; Instruments and Techniques
Divisions:	Faculty of Mathematics and Sciences > Department of Physics
Depositing User:	Farid Samsu Hananto
Date Deposited:	10 Nov 2025 13:50

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