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Influence of Control Valve Delay and Dead Zone on the Stability of a Simple Hydraulic Positioning System

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  • Bálint Magyar
  • Csaba Hős
  • Gábor Stépán

Abstract

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 are described by a piecewise linear discontinuous map. Nonlinear behavior of the system is explored and the practically globally stable parameter domains are identified.

Suggested Citation

  • Bálint Magyar & Csaba Hős & Gábor Stépán, 2010. "Influence of Control Valve Delay and Dead Zone on the Stability of a Simple Hydraulic Positioning System," Mathematical Problems in Engineering, Hindawi, vol. 2010, pages 1-15, July.
    • Handle: RePEc:hin:jnlmpe:349489
    DOI: 10.1155/2010/349489
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