Furher results on PIalphaDbeta type control of expansion turbine in the air production cryogenic liquid

Abstract

Here, it suggests and obtains a new algorithms of PID control based on fractional calculus (FC) in the producing of technical gases, i.e air production cryogenic liquid. Production liquid air low pressure was first introduced by P. L. Kapica and includes production liquor air pressure p2 = 6 - 7 bar and expansion in the gas turbine. For application in the synthesis of control input temperature and the flow of air expansion turbine, it is necessary to determine the appropriate differential equations linear’s part of the building guidance as well as the procedural object. The paper presents a new robust control algorithms of PIalpha Dbeta type which based on using fractional calculus. The objective of this work is to find out suitable settings for a fractional PIalpha Dbeta controller in order to fulfill different design specifications for the closed-loop system, taking advantage of the fractional orders, alpha and beta . Last, problem of discretization of proposed PIalpha Dbeta will be treated as a key step in digital implementation