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International Journal of Fluid Power
Article . 2024 . Peer-reviewed
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Parametric Stability Analysis of Pneumatic Valves Using Convex Optimization

Authors: Gabriel de Carvalho; Paolo Massioni; Eric Bideaux; Sylvie Sesmat; Frédéric Bristiel;

Parametric Stability Analysis of Pneumatic Valves Using Convex Optimization

Abstract

This paper proposes a stability analysis procedure of fluid power components according to some early design parameters. It is based on the numerical determination of the existence of a Lyapunov function, which guarantees the required performance. This is formulated as an optimization problem under Linear Matrix Inequalities constraints (LMIs). The model-based procedure is illustrated with an application to a pneumatic two-stage pressure regulation valve. The results show the method capability to provide a better understanding of the possible causes of the valve’s instability and how it can be avoided at an early design stage by tuning the physical parameters in order to guarantee a desired dynamical behavior and improve system robustness.

Keywords

Optimization, [INFO.INFO-SY] Computer Science [cs]/Systems and Control [cs.SY], Pneumatic, System design, Fluid Power, stability analysis, Modelling, [SPI.AUTO]Engineering Sciences [physics]/Automatic, Automation, pneumatics, [INFO.INFO-AU]Computer Science [cs]/Automatic Control Engineering, [INFO.INFO-SY]Computer Science [cs]/Systems and Control [cs.SY], LMI, linear matrix inequalities, Components, 621, [MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC], Fluid Power Automation Modelling Stability Analysis LMI Optimization Pneumatic Components, 620, [SPI.AUTO] Engineering Sciences [physics]/Automatic, [MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC], Stability, optimization, [INFO.INFO-AU] Computer Science [cs]/Automatic Control Engineering, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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