Abstract
A new technique is developed for the characterization of an unknown dynamic plant. The technique is applied to simultaneously identify the unknown parameters A and B of a plant which is described by: A[d²X(t) / d²t] + B[dX(t) / dt] + X(t) = CY(t) where Y(t) is plant input signal; X(t) is plant output signal; C is a known parameter; A, B are unknown parameters. The plant identification is based on an implicit synthesis technique in which an identifier circuit voltage is forced to a correct value by the circuit configuration. The identifier is composed of analog computing elements and operates on the input and output signals of the plant. Iterated derivatives are not required. The identification procedure yields four datum points which establish two straight lines whose intersection determines the value of A and B. the development of the technique is constrained by practical engineering criteria of equipment cost and size, in-service plant parameter identification, and a potential for automation of the identification technique. An accuracy requirement is established by considering the effect of error on the closed-loop plant control system performance. The identifier is tested on simulated dynamic plants to establish a parameter volume of identification and to investigate limitations imposed on the technique by input signal requirements. Successful simultaneous identification of parameters A and B is made for large variation in parameters A, B, and C. the technique characterizes the plant in a directly useful form. Extension of the technique to determining parameters of higher-order plants and to determining the unknown order of a plant is indicated by cursory investigation. The technique shows promise for development into automatic operation on random input signals.
Stephenson, Stanley Elbert (1964). Identification of plant parameters by application of implicit synthesis. Doctoral dissertation, Texas A&M University. Texas A&M University. Libraries. Available electronically from
https : / /hdl .handle .net /1969 .1 /DISSERTATIONS -174535.