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Zbl 1205.93047
Magyar, Bálint; H\H{o}s, Csaba; Stépán, Gábor
Influence of control valve delay and dead zone on the stability of a simple hydraulic positioning system. (English)
[J] Math. Probl. Eng. 2010, Article ID 349489, 15 p. (2010). ISSN 1024-123X; ISSN 1563-5147/e

Summary: This paper deals with the PI control of a highly simplified dynamic model of a hydraulic cylinder. It is assumed that the hydraulic fluid is incompressible and that the pump provides constant flow rates, which results in the possibility of velocity control. Two types of anomalies are taken into account: (a) the time delay due to the controller computations and the internal pressure dynamics and (b) the dead zone of the controller valve. This results in a nonlinear system described by a piecewise linear discontinuous map. The nonlinear behavior of the system is explored and the practically globally stable parameter domains are identified.

MSC 2000:: *93B51 Design techniques in systems theory
93C95 Appl. of control theory
76B99 Incompressible inviscid fluids, potential theory
93C10 Nonlinear control systems

Keywords: PI control; hydraulic cylinder; hydraulic fluid; velocity control; nonlinear system ; piecewise linear discontinuous map; practically globally stable parameter domains

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