Design of fractional order Odd-Harmonics repetitive controller for Discrete-Time Linear Systems with experimental validations

Edi Kurniawan; Jalu A Prakosa; Hai Wang; Sensus Wijonarko; Tatik Maftukhah; Purwowibowo Purwowibowo; Harry Septanto; Enggar B Pratiwi; Dadang Rustandi

doi:10.3390/s22228873

$Design of fractional order Odd-Harmonics repetitive controller for Discrete-Time Linear Systems with experimental validations$

Journal article

Open access

Peer reviewed

Design of fractional order Odd-Harmonics repetitive controller for Discrete-Time Linear Systems with experimental validations

Edi Kurniawan, Jalu A Prakosa, Hai Wang, Sensus Wijonarko, Tatik Maftukhah, Purwowibowo Purwowibowo, Harry Septanto, Enggar B Pratiwi and Dadang Rustandi

Sensors (Basel, Switzerland), Vol.22(22), Art. 8873

2022

DOI: https://doi.org/10.3390/s22228873

PMID: 36433468

Files and links (1)

pdf

Published3.15 MBDownload View

CC BY V4.0, Open Access

Abstract

fractional stabilizing controller

repetitive controller

odd-harmonics internal model

optimization

This paper presents a simple and straightforward design of a discrete-time fractional-order odd-harmonics repetitive controller (RC). Unlike general RC designs, the proposed method utilizes an internal model with a half-period delay and a stabilizing controller with a fractional phase lead compensator. First, the odd-harmonics internal model representing odd-harmonics frequencies is constructed by using the information of the reference's basis period and the preferred tracking bandwidth. Secondly, an optimization problem synthesized from the stability condition of the RC closed-loop system is solved to obtain the fractional phase lead compensator. Finally, the fractional term of the stabilizing controller is realized by using a causal and stable infinite impulse response (IIR) filter, where the filter coefficients are computed by applying the Thiran formula. Simulation and experimental validation on a servomotor system are conducted to verify the effectiveness of the proposed design.

Details

Title: Design of fractional order Odd-Harmonics repetitive controller for Discrete-Time Linear Systems with experimental validations
Authors/Creators: Edi Kurniawan - Research Center for Photonics, National Research and Innovation Agency, Tangerang Selatan 15314, Indonesia
Jalu A Prakosa - Photonics (United States)
Hai Wang - Murdoch University, Centre for Water, Energy and Waste
Sensus Wijonarko - Photonics (United States)
Tatik Maftukhah - Photonics (United States)
Purwowibowo Purwowibowo - Photonics (United States)
Harry Septanto - Research Center for Smart Mechatronics, National Research and Innovation Agency, Bandung 40135, Indonesia
Enggar B Pratiwi - Photonics (United States)
Dadang Rustandi - Photonics (United States)
Publication Details: Sensors (Basel, Switzerland), Vol.22(22), Art. 8873
Identifiers: 991005564469307891
Murdoch Affiliation: School of Engineering and Energy
Language: English
Resource Type: Journal article

UN Sustainable Development Goals (SDGs)

This output has contributed to the advancement of the following goals:

Source: InCites

Metrics

106 File views/ downloads

36 Record Views

2 Times Cited - Web of Science

InCites Highlights

These are selected metrics from InCites Benchmarking & Analytics tool, related to this output

Collaboration types: Domestic collaboration; International collaboration
Citation topics: 4 Electrical Engineering, Electronics & Computer Science; 4.18 Power Systems & Electric Vehicles; 4.18.101 Power Quality
Web Of Science research areas: Chemistry, Analytical; Engineering, Electrical & Electronic; Instruments & Instrumentation
ESI research areas: Chemistry