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Quantitative feedback design for a variable‐displacement hydraulic vane pump
Author(s) -
Thompson David F.,
Kremer Gregory G.
Publication year - 1998
Publication title -
optimal control applications and methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.458
H-Index - 44
eISSN - 1099-1514
pISSN - 0143-2087
DOI - 10.1002/(sici)1099-1514(199803/04)19:2<63::aid-oca618>3.0.co;2-h
Subject(s) - control theory (sociology) , quantitative feedback theory , controller (irrigation) , parametric statistics , operating point , displacement (psychology) , variable (mathematics) , control engineering , constraint (computer aided design) , stability (learning theory) , computer science , engineering , control system , mathematics , robust control , control (management) , mechanical engineering , psychology , mathematical analysis , agronomy , statistics , biology , psychotherapist , artificial intelligence , machine learning , electrical engineering
In this paper the model development, problem specification, constraint formulation, and optimal feedback controller design for a variable‐displacement hydraulic pump system are shown using the Quantitative Feedback Theory (QFT) technique. The use of variable‐displacement pumps in hydraulic system applications has become widespread due to their efficiency advantages; however, this efficiency gain is often accompanied by a degradation of system stability. Here we develop a QFT controller for a variable‐displacement pump based upon a linear, parametrically uncertain model in which some of this uncertainty reflects variation in operating point‐dependent parameters. After presentation of a realistic non‐linear differential equation model, the linearized model is developed and the effect of parametric uncertainty is reviewed. From this point, closed‐loop performance specifications are formulated and the QFT design technique is carried out. An initial feasible controller is designed, and this design is optimized via a non‐linear programming technique. In conclusion, a non‐linear closed‐loop system response is simulated. This paper is intended to have tutorial value, both in terms of the detailed hydraulic system model development, as well as in terms of the detailed exposition of the QFT controller design and optimal loop shaping processes. © 1998 John Wiley & Sons, Ltd.