Solving of the contradictory problem of the precision-Stability by using the extenics theory

Assisted analyze of the elements and systems with Extenics theory is necessary to choose the optimal value and the optimal minim field called the attraction field of the working point. With this study easily can be determined all influences to the current working point. The Extenics theory was defined by prof. Cai Wen in 1983 and contents the mathematical, philosophy and logical models with the goal to solve the contradictory problem. This paper show the applying the Extenics theory to the optimal choose of the working area of the hydraulic cylinder in the precision-stability field and define some classes of this precision-stability by using the Extenics transformations and dependent functions. The research was made by using the proper virtual LabVIEW instrumentation with the possibility to work on-line and to see all transformation of the dynamic behavior. We established the affiliation of one precision- stability classes by see the changes of the proper form of the dependent function values in the used 2D dimensions. The paper shown the assisted study case of the contraction transformation defining finally the minimal attraction field like the optimized place of the working point.