Hybrid integral reset control with application to a lens motion system

K.G.J. Gruntjens; Marcel F. Heertjes; S.J.L.M. van Loon; Nathan van de Wouw; W.P.M.H. Heemels

doi:10.23919/acc.2019.8815268

Hybrid integral reset control with application to a lens motion system

K.G.J. Gruntjens, Marcel F. Heertjes, S.J.L.M. van Loon, Nathan van de Wouw, W.P.M.H. Heemels

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

3 Citations (Scopus)

3 Downloads (Pure)

Abstract

A hybrid integral controller with reset is proposed. This hybrid controller ensures improved low-frequency disturbance rejection properties under double integrator (PI²D) control without inducing the undesired increase of overshoot otherwise resulting from adding an extra linear integrator to a PID controller. The controller is applied to an optical lens motion system that requires PID control in one operating mode and PI²D control in the other, therewith motivating a hybrid integral control strategy. The reset element in the controller is included to improve transient performance. To guarantee closed-loop stability, a conditional (and partial) reset rule is introduced that restricts the input-output behavior of the dynamic reset element, i.e., the hybrid integrator with reset, to a bounded sector. As a result, stability can be guaranteed on the basis of a circle criterion-like argument and checked by (measured) frequency response data. Stability and performance of the hybrid integral control design with conditional (and partial) reset are investigated by application to a piezo-actuated lens system that is part of an industrial wafer scanner.

Original language	English
Title of host publication	2019 American Control Conference, ACC 2019
Place of Publication	Piscataway
Publisher	Institute of Electrical and Electronics Engineers
Pages	2408-2413
Number of pages	6
ISBN (Electronic)	978-1-5386-7926-5
DOIs	https://doi.org/10.23919/acc.2019.8815268
Publication status	Published - 1 Jul 2019
Event	2019 American Control Conference, ACC 2019 - Philadelphia, United States Duration: 10 Jul 2019 → 12 Jul 2019 http://acc2019.a2c2.org

Conference

Conference	2019 American Control Conference, ACC 2019
Abbreviated title	ACC 2019
Country/Territory	United States
City	Philadelphia
Period	10/07/19 → 12/07/19
Internet address	http://acc2019.a2c2.org

Funding

This research is financially supported by the Dutch Science Foundation STW via the project ”Hyper Motion: Hybrid Control for Performance Improvement of Linear Motion Systems” (no. 10953).

Keywords

Circle criterion
Hybrid control
Lyapunov stability
Motion systems
Reset control
Wafer scanners

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10.23919/acc.2019.8815268

Cite this

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title = "Hybrid integral reset control with application to a lens motion system",

abstract = "A hybrid integral controller with reset is proposed. This hybrid controller ensures improved low-frequency disturbance rejection properties under double integrator (PI2D) control without inducing the undesired increase of overshoot otherwise resulting from adding an extra linear integrator to a PID controller. The controller is applied to an optical lens motion system that requires PID control in one operating mode and PI2D control in the other, therewith motivating a hybrid integral control strategy. The reset element in the controller is included to improve transient performance. To guarantee closed-loop stability, a conditional (and partial) reset rule is introduced that restricts the input-output behavior of the dynamic reset element, i.e., the hybrid integrator with reset, to a bounded sector. As a result, stability can be guaranteed on the basis of a circle criterion-like argument and checked by (measured) frequency response data. Stability and performance of the hybrid integral control design with conditional (and partial) reset are investigated by application to a piezo-actuated lens system that is part of an industrial wafer scanner.",

keywords = "Circle criterion, Hybrid control, Lyapunov stability, Motion systems, Reset control, Wafer scanners",

author = "K.G.J. Gruntjens and Heertjes, {Marcel F.} and {van Loon}, S.J.L.M. and {van de Wouw}, Nathan and W.P.M.H. Heemels",

year = "2019",

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booktitle = "2019 American Control Conference, ACC 2019",

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Gruntjens, KGJ, Heertjes, MF, van Loon, SJLM, van de Wouw, N & Heemels, WPMH 2019, Hybrid integral reset control with application to a lens motion system. in 2019 American Control Conference, ACC 2019., 8815268, Institute of Electrical and Electronics Engineers, Piscataway, pp. 2408-2413, 2019 American Control Conference, ACC 2019, Philadelphia, Pennsylvania, United States, 10/07/19. https://doi.org/10.23919/acc.2019.8815268

Hybrid integral reset control with application to a lens motion system. / Gruntjens, K.G.J.; Heertjes, Marcel F.; van Loon, S.J.L.M. et al.
2019 American Control Conference, ACC 2019. Piscataway: Institute of Electrical and Electronics Engineers, 2019. p. 2408-2413 8815268.

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

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AU - Heemels, W.P.M.H.

PY - 2019/7/1

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N2 - A hybrid integral controller with reset is proposed. This hybrid controller ensures improved low-frequency disturbance rejection properties under double integrator (PI2D) control without inducing the undesired increase of overshoot otherwise resulting from adding an extra linear integrator to a PID controller. The controller is applied to an optical lens motion system that requires PID control in one operating mode and PI2D control in the other, therewith motivating a hybrid integral control strategy. The reset element in the controller is included to improve transient performance. To guarantee closed-loop stability, a conditional (and partial) reset rule is introduced that restricts the input-output behavior of the dynamic reset element, i.e., the hybrid integrator with reset, to a bounded sector. As a result, stability can be guaranteed on the basis of a circle criterion-like argument and checked by (measured) frequency response data. Stability and performance of the hybrid integral control design with conditional (and partial) reset are investigated by application to a piezo-actuated lens system that is part of an industrial wafer scanner.

AB - A hybrid integral controller with reset is proposed. This hybrid controller ensures improved low-frequency disturbance rejection properties under double integrator (PI2D) control without inducing the undesired increase of overshoot otherwise resulting from adding an extra linear integrator to a PID controller. The controller is applied to an optical lens motion system that requires PID control in one operating mode and PI2D control in the other, therewith motivating a hybrid integral control strategy. The reset element in the controller is included to improve transient performance. To guarantee closed-loop stability, a conditional (and partial) reset rule is introduced that restricts the input-output behavior of the dynamic reset element, i.e., the hybrid integrator with reset, to a bounded sector. As a result, stability can be guaranteed on the basis of a circle criterion-like argument and checked by (measured) frequency response data. Stability and performance of the hybrid integral control design with conditional (and partial) reset are investigated by application to a piezo-actuated lens system that is part of an industrial wafer scanner.

KW - Circle criterion

KW - Hybrid control

KW - Lyapunov stability

KW - Motion systems

KW - Reset control

KW - Wafer scanners

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BT - 2019 American Control Conference, ACC 2019

PB - Institute of Electrical and Electronics Engineers

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T2 - 2019 American Control Conference, ACC 2019

Y2 - 10 July 2019 through 12 July 2019

ER -

Hybrid integral reset control with application to a lens motion system

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