A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems

Bardia Sharif; D.W.T. Alferink; M.F. Heertjes; H. Nijmeijer; W.P.M.H. Heemels

doi:10.1109/CDC51059.2022.9992653

A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems

Bardia Sharif, D.W.T. Alferink, M.F. Heertjes, H. Nijmeijer, W.P.M.H. Heemels

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed early engineering successes in mechatronic applications such as control of high-precision motion systems. However, the development of discretized versions of HIGS and their sampled-data analysis have not been addressed in the literature so far. This paper presents a discrete-time version of HIGS, which preserves the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A numerical case study demonstrates the use of the main results.

Originele taal-2	Engels
Titel	2022 IEEE 61st Conference on Decision and Control, CDC 2022
Uitgeverij	Institute of Electrical and Electronics Engineers
Pagina's	7612-7617
Aantal pagina's	6
ISBN van elektronische versie	978-1-6654-6761-2
DOI's	https://doi.org/10.1109/CDC51059.2022.9992653
Status	Gepubliceerd - 10 jan. 2023
Evenement	2022 IEEE 61st Conference on Decision and Control (CDC) - The Marriott Cancún Collection, Cancun, Mexico Duur: 6 dec. 2022 → 9 dec. 2022 Congresnummer: 61 https://cdc2022.ieeecss.org/

Congres

Congres	2022 IEEE 61st Conference on Decision and Control (CDC)
Verkorte titel	CDC 2022
Land/Regio	Mexico
Stad	Cancun
Periode	6/12/22 → 9/12/22
Internet adres	https://cdc2022.ieeecss.org/

Bibliografische nota

Funding Information:
Bardia Sharif, Dirk Alferink, Marcel Heertjes, Henk Nijmeijer, and Maurice Heemels are with the Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands. Marcel Heertjes is also with ASML Mechatronic Systems Development, Veldhoven, the Netherlands. E-mail corresponding author: [email protected] This work has received funding as part of the project CLOC, which is financed by the Netherlands organization for scientific research (NWO). Maurice Heemels received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384.

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10.1109/CDC51059.2022.9992653

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Sharif, B., Alferink, D. W. T., Heertjes, M. F., Nijmeijer, H., & Heemels, W. P. M. H. (2023). A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems. In 2022 IEEE 61st Conference on Decision and Control, CDC 2022 (blz. 7612-7617). Artikel 9992653 Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/CDC51059.2022.9992653

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abstract = "Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed early engineering successes in mechatronic applications such as control of high-precision motion systems. However, the development of discretized versions of HIGS and their sampled-data analysis have not been addressed in the literature so far. This paper presents a discrete-time version of HIGS, which preserves the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A numerical case study demonstrates the use of the main results.",

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note = "Funding Information: Bardia Sharif, Dirk Alferink, Marcel Heertjes, Henk Nijmeijer, and Maurice Heemels are with the Department of Mechanical Engineering, Eindhoven University of Technology, The Netherlands. Marcel Heertjes is also with ASML Mechatronic Systems Development, Veldhoven, the Netherlands. E-mail corresponding author: [email protected] This work has received funding as part of the project CLOC, which is financed by the Netherlands organization for scientific research (NWO). Maurice Heemels received funding from the European Research Council under the Advanced ERC Grant Agreement PROACTHIS, no. 101055384. ; 61st IEEE Conference on Decision and Control, CDC 2022, CDC 2022 ; Conference date: 06-12-2022 Through 09-12-2022",

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Sharif, B , Alferink, DWT , Heertjes, MF , Nijmeijer, H & Heemels, WPMH 2023, A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems. in 2022 IEEE 61st Conference on Decision and Control, CDC 2022., 9992653, Institute of Electrical and Electronics Engineers, blz. 7612-7617, 2022 IEEE 61st Conference on Decision and Control (CDC), Cancun, Mexico, 6/12/22. https://doi.org/10.1109/CDC51059.2022.9992653

A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems. / Sharif, Bardia ; Alferink, D.W.T.; Heertjes, M.F. et al.
2022 IEEE 61st Conference on Decision and Control, CDC 2022. Institute of Electrical and Electronics Engineers, 2023. blz. 7612-7617 9992653.

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/Congresprocedure › Conferentiebijdrage › Academic › peer review

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AB - Hybrid integrator-gain systems (HIGS) are hybrid control elements used to overcome fundamental performance limitations of linear time-invariant feedback control, and have enjoyed early engineering successes in mechatronic applications such as control of high-precision motion systems. However, the development of discretized versions of HIGS and their sampled-data analysis have not been addressed in the literature so far. This paper presents a discrete-time version of HIGS, which preserves the main philosophy behind the operation of HIGS in continuous time. Moreover, stability criteria are presented that can be used to certify input-to-state stability of discrete-time and sampled-data HIGS-controlled systems based on both (i) (measured) frequency response data, and (ii) linear matrix inequalities (LMIs). A numerical case study demonstrates the use of the main results.

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A Discrete-Time Approach to Analysis of Sampled-Data Hybrid Integrator-Gain Systems

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