Frequency-domain tools for stability analysis of reset control systems

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

doi:10.1016/j.automatica.2017.04.008

Frequency-domain tools for stability analysis of reset control systems

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

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Abstract

The potential of reset controllers to improve the transient performance of linear (motion) systems has been extensively demonstrated in the literature. The design and stability analysis of these reset controllers generally rely on the availability of parametric models and on the numerical solution of linear matrix inequalities. Both these aspects may hamper the application of reset control in industrial settings. To remove these hurdles and stimulate broader application of reset control techniques in practice, we present new sufficient conditions, based on measured frequency response data of the system to be controlled, to guarantee the stability of closed-loop reset control systems. The effectiveness of these conditions is demonstrated through experiments on an industrial piezo-actuated motion system.

Original language	English
Pages (from-to)	101-108
Number of pages	8
Journal	Automatica
Volume	82
DOIs	https://doi.org/10.1016/j.automatica.2017.04.008
Publication status	Published - 1 Aug 2017

Keywords

Circle criterion
Frequency-domain methods
Input-to-state stability
Reset control

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10.1016/j.automatica.2017.04.008

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title = "Frequency-domain tools for stability analysis of reset control systems",

abstract = "The potential of reset controllers to improve the transient performance of linear (motion) systems has been extensively demonstrated in the literature. The design and stability analysis of these reset controllers generally rely on the availability of parametric models and on the numerical solution of linear matrix inequalities. Both these aspects may hamper the application of reset control in industrial settings. To remove these hurdles and stimulate broader application of reset control techniques in practice, we present new sufficient conditions, based on measured frequency response data of the system to be controlled, to guarantee the stability of closed-loop reset control systems. The effectiveness of these conditions is demonstrated through experiments on an industrial piezo-actuated motion system.",

keywords = "Circle criterion, Frequency-domain methods, Input-to-state stability, Reset control",

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AU - van Loon, S.J.L.M.

AU - Gruntjens, K.G.J.

AU - Heertjes, M.F.

AU - van de Wouw, N.

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

PY - 2017/8/1

Y1 - 2017/8/1

N2 - The potential of reset controllers to improve the transient performance of linear (motion) systems has been extensively demonstrated in the literature. The design and stability analysis of these reset controllers generally rely on the availability of parametric models and on the numerical solution of linear matrix inequalities. Both these aspects may hamper the application of reset control in industrial settings. To remove these hurdles and stimulate broader application of reset control techniques in practice, we present new sufficient conditions, based on measured frequency response data of the system to be controlled, to guarantee the stability of closed-loop reset control systems. The effectiveness of these conditions is demonstrated through experiments on an industrial piezo-actuated motion system.

AB - The potential of reset controllers to improve the transient performance of linear (motion) systems has been extensively demonstrated in the literature. The design and stability analysis of these reset controllers generally rely on the availability of parametric models and on the numerical solution of linear matrix inequalities. Both these aspects may hamper the application of reset control in industrial settings. To remove these hurdles and stimulate broader application of reset control techniques in practice, we present new sufficient conditions, based on measured frequency response data of the system to be controlled, to guarantee the stability of closed-loop reset control systems. The effectiveness of these conditions is demonstrated through experiments on an industrial piezo-actuated motion system.

KW - Circle criterion

KW - Frequency-domain methods

KW - Input-to-state stability

KW - Reset control

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DO - 10.1016/j.automatica.2017.04.008

M3 - Article

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SN - 0005-1098

VL - 82

SP - 101

EP - 108

JO - Automatica

JF - Automatica

ER -

Frequency-domain tools for stability analysis of reset control systems

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Keywords

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