By Yu, Cheng-Ching
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The acronym also stands for all-terrain vehicle, since ATV provides a useful tool for the rough and rocky road of system identification. As pointed out by Luyben, the motivation for using the relay feedback (ATV) has grown out of a study of an industrial distillation column. The distillation column is an important unit in chemical process industries. It is rather difficult to obtain a linear transfer function model for highly nonlinear columns. Attempts have been made using step or pulse tests.
Chem. Res. 1991;30:1530. 12. Wang QG, Hang CC, Zou B. Low-order modeling from relay feedback. Ind. Eng. Chem. Res. 1997;36:375. 13. Majhi S, Atherton DP. Auto-tuning and controller design for processes with small time delays. IEE Proc. Control Theory Appl. 1999;146(3):415. 14. Kaya I, Atherton DP. Parameter estimation from relay auto-tuning with asymmetric limit cycle data. Process Control 2001;11:429. 15. Panda RC, Yu CC. Analytical expressions for relay feedback responses. J. Process Control 2003;13:48.
For the lead/lag second-order system (No. 2), the expression is applicable to systems with left-half plane ( 3 > 0 ) or right-half plane ( 3 < 0 ) zero. 3. They are of much interest because, when we see, for example, the expression for fifth-order process, the equation contains mainly five terms (except ‘1’) and each of these terms represents corresponding lower order processes. The first term inside the third bracket of the first line/row appears to be for an FOPDT. The second term (having two terms inside the first bracket) is for an SOPDT (critically damped).