An approach to stable inversion of LPTV systems with application to a position-dependent motion system

J. van Zundert; T.A.E. Oomen

doi:10.23919/ACC.2017.7963712

An approach to stable inversion of LPTV systems with application to a position-dependent motion system

J. van Zundert, T.A.E. Oomen

Control Systems Technology

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

2 Citations (Scopus)

26 Downloads (Pure)

Abstract

Model inversion is essential in many control approaches, including inverse model feedforward and iterative learning control (ILC). The aim of this paper is the development of inversion techniques for linear periodically time-varying (LPTV) systems, possibly multivariable. The proposed method involves stable inversion, where bounded solutions are computed through a two-point boundary value problem. A key aspect herein involves a new dichotomic split for the stable and unstable dynamics, which is nontrivial for general LTV systems. As a special case, well-known stable inversion techniques for LTI systems are recovered. The approach is successfully demonstrated on a position-dependent wafer stage system.

Original language	English
Title of host publication	2017 American Control Conference (ACC 2017)
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	4890-4895
Number of pages	6
ISBN (Electronic)	978-1-5090-5992-8
ISBN (Print)	978-1-5090-4583-9
DOIs	https://doi.org/10.23919/ACC.2017.7963712
Publication status	Published - May 2017
Event	2017 American Control Conference (ACC 2017) - Sheraton Seattle Hotel, Seattle, United States Duration: 24 May 2017 → 26 May 2017 http://acc2017.a2c2.org/

Conference

Conference	2017 American Control Conference (ACC 2017)
Abbreviated title	ACC 2017
Country/Territory	United States
City	Seattle
Period	24/05/17 → 26/05/17
Internet address	http://acc2017.a2c2.org/

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10.23919/ACC.2017.7963712

Cite this

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title = "An approach to stable inversion of LPTV systems with application to a position-dependent motion system",

abstract = "Model inversion is essential in many control approaches, including inverse model feedforward and iterative learning control (ILC). The aim of this paper is the development of inversion techniques for linear periodically time-varying (LPTV) systems, possibly multivariable. The proposed method involves stable inversion, where bounded solutions are computed through a two-point boundary value problem. A key aspect herein involves a new dichotomic split for the stable and unstable dynamics, which is nontrivial for general LTV systems. As a special case, well-known stable inversion techniques for LTI systems are recovered. The approach is successfully demonstrated on a position-dependent wafer stage system.",

author = "{van Zundert}, J. and T.A.E. Oomen",

year = "2017",

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booktitle = "2017 American Control Conference (ACC 2017)",

publisher = "Institute of Electrical and Electronics Engineers",

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note = "2017 American Control Conference (ACC 2017), ACC 2017 ; Conference date: 24-05-2017 Through 26-05-2017",

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van Zundert, J & Oomen, TAE 2017, An approach to stable inversion of LPTV systems with application to a position-dependent motion system. in 2017 American Control Conference (ACC 2017). Institute of Electrical and Electronics Engineers, Piscataway, pp. 4890-4895, 2017 American Control Conference (ACC 2017), Seattle, Washington, United States, 24/05/17. https://doi.org/10.23919/ACC.2017.7963712

An approach to stable inversion of LPTV systems with application to a position-dependent motion system. / van Zundert, J.; Oomen, T.A.E.

2017 American Control Conference (ACC 2017). Piscataway : Institute of Electrical and Electronics Engineers, 2017. p. 4890-4895.

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

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AU - Oomen, T.A.E.

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N2 - Model inversion is essential in many control approaches, including inverse model feedforward and iterative learning control (ILC). The aim of this paper is the development of inversion techniques for linear periodically time-varying (LPTV) systems, possibly multivariable. The proposed method involves stable inversion, where bounded solutions are computed through a two-point boundary value problem. A key aspect herein involves a new dichotomic split for the stable and unstable dynamics, which is nontrivial for general LTV systems. As a special case, well-known stable inversion techniques for LTI systems are recovered. The approach is successfully demonstrated on a position-dependent wafer stage system.

AB - Model inversion is essential in many control approaches, including inverse model feedforward and iterative learning control (ILC). The aim of this paper is the development of inversion techniques for linear periodically time-varying (LPTV) systems, possibly multivariable. The proposed method involves stable inversion, where bounded solutions are computed through a two-point boundary value problem. A key aspect herein involves a new dichotomic split for the stable and unstable dynamics, which is nontrivial for general LTV systems. As a special case, well-known stable inversion techniques for LTI systems are recovered. The approach is successfully demonstrated on a position-dependent wafer stage system.

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SN - 978-1-5090-4583-9

SP - 4890

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BT - 2017 American Control Conference (ACC 2017)

PB - Institute of Electrical and Electronics Engineers

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T2 - 2017 American Control Conference (ACC 2017)

Y2 - 24 May 2017 through 26 May 2017

ER -

An approach to stable inversion of LPTV systems with application to a position-dependent motion system

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