Open AccessInfluence of Control Valve Delay and Dead Zone on the Stability of a Simple Hydraulic Positioning System
Author(s) -
Bálint Magyar,
Csaba Hős,
Gábor Stépàn
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/349489
Subject(s) - control theory (sociology) , nonlinear system , dead zone , controller (irrigation) , computation , constant (computer programming) , hydraulic machinery , hydraulic cylinder , control valves , piecewise , stability (learning theory) , flow control valve , simple (philosophy) , compressibility , mechanics , mathematics , engineering , computer science , control engineering , control (management) , geology , physics , mathematical analysis , mechanical engineering , philosophy , algorithm , artificial intelligence , oceanography , biology , epistemology , quantum mechanics , machine learning , agronomy , programming language
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
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