The aim of this paper is to present and to compare some linear and non-linear control laws for an electropneumatic positioning system both for point-to-point control and for tracking control. The experimental results are presented in terms of repeatability for each control law implemented on the same device: an in-line electropneumatic servo-drive. Different kinds of model, namely a non-linear affine model, linearized tangent model and a reduced linearized tangent model, are presented to synthesize the different control laws. For this a new mathematical modelling of the servo-distributor flow stage is described.
EdgeK. A.The control of fluid power systems—responding to the challenge. Proc. Instn Mech. Engrs, Part I, Journal of Systems and Control Engineering, 1997, 211 (I2), 91–110.
2.
ShearerJ. L.Study of pneumatic processes in the continuous control of motion with compressed air. Parts I and II. Trans. Am. Soc. Mech. Engrs, 1956, 78, 233–249.
3.
BurrowsC. R.Fluid Power Servomechanisms, 1972, 237 pp. (Van Nostrand Reinhold, London).
4.
MorganG.HüblW.Positionieren mit kleinrechnern von Pneumatikzylindern. In Proceedings of the Sixth Aachener Fluid Techniques Colloquium, Aachen, Germany, 1984, pp. 121–157
5.
EdgeK. A.FigeredoK. R. A.An adaptively controlled electrohydraulic servo-mechanism. Part 1: Adaptive controller design; Part 2: Implementation. Proc. Instn Mech, Engrs, Part B, Journal of Engineering Manufacture, 1987, 201 (B3), 175–180, 181–189.
6.
NoristuguT.WadaT.YanosakaM.Adaptive control of electropneumatic servo system. In Proceedings of the Second International Symposium onFluid Control, Measurement, Mechanics and Flow Visualisation, Sheffield, 1988, pp. 285–289.
7.
VaughanN. D.GambleJ. B.Sliding mode control of a proportional solenoid valve. In Fluid Power Systems Modelling and Control (Eds BurrowsC. R.EdgeK. A.), 1992, pp. 95–107 (Research Studies Press, Taunton).
8.
BouriM.ThomassetD.ScavardaS.Integral sliding mode controller of a rotational servodrive. In Proceedings of the Third JHPS Symposium, Tokyo, Japan, November 1996, pp. 145–150.
9.
SurgenorB. W.VaughanN. D.UebingM.Continuous sliding mode control of a pneumatic positioning system. In Proceedings of the Eighth Bath International Fluid Power Workshop, Bath, September 1995.
10.
PicheR.PohjolainenS.VirvaloT.Design of robust controllers for position servos using H-infinity theory. Proc. Instn Mech. Engrs, Part I, Journal of Systems and Control Engineering, 1991, 205 (I4), 299–306.
11.
KleinA.BackW.An intelligent optimisation of a state loop controller with fuzzy-set-logic. In Circuit Component and System Design, Proceedings of the Fifth Bath International Fluid Power Workshop (Eds BurrowsC. R.EdgeK. A.), Bath, 1995, pp. 381–399.
12.
LiuP.DransfieldP.Intelligent control of air servo-drives using neural networks. In Proceedings of the Second JHPS International Symposium onFluid Power, 1993, pp. 381–399.
13.
BelgharbiM.BrunX.ScavardaS.SesmatS.ThomassetD.Dispositifs expérimentaux. Rapport 1, PRC/GDR ‘Modélisation et commande des systémes à fluide sous pression’, Laboratoire d'Automatique Industrielle, Institut National des Sciences Appliquées de Lyon, 1997, 60 pp.
14.
BelgharbiM.BrunX.ScavardaS.SesmatS.ThomassetD.Eléments de modélisation en électropneumatique—modéles de différents systémes électropneumatiques. Rapport 2, PRC/GDR ‘Modélisation et commande des systémes à fluide sous pression’, Laboratoire d'Automatique Industrielle, Institut National des Sciences Appliquées de Lyon, 1997, 80 pp.
15.
SesmatS.Modélisation, simulation et commande d'une servovalve electropneumatique. Thése, Science, Institut National des Sciences Appliquées de Lyon, 1996, 307 pp.
16.
SesmatS.ScavardaS.Static characteristics of a three way servovalve. In Proceedings of the 12th Aachen Conference onFluid Power Technology, Aachen, Germany, 12–13 March 1996, pp. 643–652.
17.
BouhalA.Contribution à la commande linéaire et non linéaire adaptative des systémes électropneumatiques. Thése, Science, Institut National des Sciences Appliquées de Lyon, 1994, 203 pp.
18.
ArakiK.Effects of valve configuration on a pneumatic servo. In Proceedings of the Sixth International Fluid Power Symposium, Cambridge, 1981, paper F2, pp. 271–290.
19.
MoJ. P. T.Analysis of compressed air flow through a spool valve. Proc. Instn Mech. Engrs, Part C, Journal of Mechanical Engineering Science, 1989, 203 (C2), 121–131.
20.
RichardE.ScavardaS.Nonlinear control of pneumatic servodrive. In Proceedings of the Second Bath International Fluid Power Workshop, Bath, 21–22 September 1989, pp. 59–75.
21.
McCloyD.MartinH. R.Control of Fluid Power: Analysis and Design, 1980, 510 pp. (Ellis Horwood, Chichester, West Sussex).
22.
ISO 6358Transmissions pneumatiques—eléments traversés par un fluide compressible—détermination des caractéristiques de débit, 1989, 15 pp. (International Standardization Organization).
23.
BelgharbiM.ThomassetD.ScavardaS.SesmatS.Analytical model of the flow stage of a pneumatic servo-distributor for simulation and nonlinear control. In Proceedings of the Sixth Scandinavian International Conference onFluid Power, Tampere, Finland, 1999 (in press).
24.
ShearerJ. L.Study of pneumatic processes in the continuous control of motion with compressed air. Parts I and II. Trans. Am. Soc. Mech. Engrs, 1956, 78, 233–249.
25.
AndersenB. W.The Analysis and Design of Pneumatic Systems, 1967, 302 pp. (John Wiley, New York).
26.
BrunX.SesmatS.ScavardaS.ThomassetD.Simulation and experimental study of the partial equilibrium of an electropneumatic positioning system, cause of the sticking and restarting phenomenon. In Proceedings of the Fourth JHPS International Symposium onFluid Power, Tokyo, Japan, 15–17 November 1999 (in press).
27.
IsidoriA.Nonlinear Control Systems, 2nd edition, 1989, 479 pp. (Springer-Verlag, New York).
28.
SesmatS.ScavardaS.Study of the behaviour of an electropneumatic positioning system near the equilibrium state. In Proceedings of the International Fluid Colloquium, Aachen, 17–18 March 1998, Vol. 2, pp. 321–334.
29.
KellalA.ScavardaS.FontaineJ. G.Electropneumatic servodrive for a robot. In Proceedings of the 16th International Symposium onIndustrial Robots, Brussels, Belgium, 29 September-2 October 1986, pp. 117–128.
30.
SesmatS.ScavardaS.Lin-ShiX.Verification of electropneumatic servovalve size using non-linear control theory applied to cylinder position tracking. In Proceedings of the Fourth Scandinavian International Conference onFluid Power, Tampere, Finland, 26–29 September 1995.
31.
SesmatS.ScavardaS.ThomassetD. Comparison of three tracking control laws for an electropneumatic positioning system. In Congresso Internationale della Trasmissione di Potenza ‘97, Automazione e progettazione, Sessione Pneumatica, Assago (MI), Italy, 1997, pp. 611–622.
32.
RichardE.ScavardaS.Comparison between linear and nonlinear control of an electropneumatic servodrive. J. Dynamic Systems, Measmt, Control, June 1996, 118, 245–252.
