Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution

T.A.E. Oomen; M.M.J. Wal, van de; O.H. Bosgra

doi:10.1109/ACC.2007.4282145

Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution

T.A.E. Oomen, M.M.J. Wal, van de, O.H. Bosgra

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

4 Citations (Scopus)

201 Downloads (Pure)

Abstract

High-performance control design for electromechanical sampled-data systems with aliased plant dynamics is investigated. Though from a theoretical viewpoint the aliasing phenomenon is automatically handled by direct sampled-data control, such an approach cannot be used in conjunction with models derived through system identification. From a practical viewpoint, aliasing is often considered as an undesirable phenomenon and a typical remedy is the increase of the sampling frequency. However, the sampling frequency is upper bounded due to physical and economical constraints and aliasing may be inevitable. Control design for plants with aliased dynamics has not received explicit attention in the literature and it is not clear how to handle this situation. In this paper, it is shown that aliased resonance phenomena can effectively be suppressed in sampled-data feedback control design without the need for increasing the sampling frequency. Furthermore, it is shown experimentally on an industrial wafer stage that ignoring aliasing during control design can have a disastrous effect on closed-loop performance. Additionally, a novel, practically feasible procedure for identification of (possibly aliased) resonance phenomena based on multirate system theory is proposed.

Original language	English
Title of host publication	Proceedings of the 2007 American Control Conference (ACC 2007) 9-13 July 2007, New York, New York, USA
Place of Publication	Piscataway, New Jersey, USA
Publisher	Institute of Electrical and Electronics Engineers
Pages	2881-2886
ISBN (Print)	1-4244-0988-8
DOIs	https://doi.org/10.1109/ACC.2007.4282145
Publication status	Published - 2007
Event	2007 American Control Conference, ACC 2007 - Marriott Marquis Hotel at Times Square, New York, United States Duration: 9 Jul 2007 → 13 Jul 2007 http://acc2007.a2c2.org/

Conference

Conference	2007 American Control Conference, ACC 2007
Abbreviated title	ACC 2007
Country/Territory	United States
City	New York
Period	9/07/07 → 13/07/07
Internet address	http://acc2007.a2c2.org/

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Oomen, T. A. E., Wal, van de, M. M. J., & Bosgra, O. H. (2007). Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution. In Proceedings of the 2007 American Control Conference (ACC 2007) 9-13 July 2007, New York, New York, USA (pp. 2881-2886). Institute of Electrical and Electronics Engineers. https://doi.org/10.1109/ACC.2007.4282145

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abstract = "High-performance control design for electromechanical sampled-data systems with aliased plant dynamics is investigated. Though from a theoretical viewpoint the aliasing phenomenon is automatically handled by direct sampled-data control, such an approach cannot be used in conjunction with models derived through system identification. From a practical viewpoint, aliasing is often considered as an undesirable phenomenon and a typical remedy is the increase of the sampling frequency. However, the sampling frequency is upper bounded due to physical and economical constraints and aliasing may be inevitable. Control design for plants with aliased dynamics has not received explicit attention in the literature and it is not clear how to handle this situation. In this paper, it is shown that aliased resonance phenomena can effectively be suppressed in sampled-data feedback control design without the need for increasing the sampling frequency. Furthermore, it is shown experimentally on an industrial wafer stage that ignoring aliasing during control design can have a disastrous effect on closed-loop performance. Additionally, a novel, practically feasible procedure for identification of (possibly aliased) resonance phenomena based on multirate system theory is proposed.",

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Oomen, TAE, Wal, van de, MMJ & Bosgra, OH 2007, Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution. in Proceedings of the 2007 American Control Conference (ACC 2007) 9-13 July 2007, New York, New York, USA. Institute of Electrical and Electronics Engineers, Piscataway, New Jersey, USA, pp. 2881-2886, 2007 American Control Conference, ACC 2007, New York, New York, United States, 9/07/07. https://doi.org/10.1109/ACC.2007.4282145

Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution. / Oomen, T.A.E.; Wal, van de, M.M.J.; Bosgra, O.H.
Proceedings of the 2007 American Control Conference (ACC 2007) 9-13 July 2007, New York, New York, USA. Piscataway, New Jersey, USA: Institute of Electrical and Electronics Engineers, 2007. p. 2881-2886.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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AB - High-performance control design for electromechanical sampled-data systems with aliased plant dynamics is investigated. Though from a theoretical viewpoint the aliasing phenomenon is automatically handled by direct sampled-data control, such an approach cannot be used in conjunction with models derived through system identification. From a practical viewpoint, aliasing is often considered as an undesirable phenomenon and a typical remedy is the increase of the sampling frequency. However, the sampling frequency is upper bounded due to physical and economical constraints and aliasing may be inevitable. Control design for plants with aliased dynamics has not received explicit attention in the literature and it is not clear how to handle this situation. In this paper, it is shown that aliased resonance phenomena can effectively be suppressed in sampled-data feedback control design without the need for increasing the sampling frequency. Furthermore, it is shown experimentally on an industrial wafer stage that ignoring aliasing during control design can have a disastrous effect on closed-loop performance. Additionally, a novel, practically feasible procedure for identification of (possibly aliased) resonance phenomena based on multirate system theory is proposed.

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Oomen TAE, Wal, van de MMJ, Bosgra OH. Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution. In Proceedings of the 2007 American Control Conference (ACC 2007) 9-13 July 2007, New York, New York, USA. Piscataway, New Jersey, USA: Institute of Electrical and Electronics Engineers. 2007. p. 2881-2886 doi: 10.1109/ACC.2007.4282145

Aliasing of Resonance Phenomena in Sampled-Data Feedback Control Design: Hazards, Modeling, and a Solution

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