An odaptive control system embodying on-line identification and closed loop optimization, using on on-line digital computer, improves product quality in a noisy, multivariable industrial process.
Smmmary--This paper prem~ts the development and imple-Q~(N) mentation of an on-line adaptive controller in an industrial process. The process, drawing and coating of glass rod used in the manufacture of resistors, is described briefly and the r control problem formulated. The proposed control system, based on an on-fine digital computer system, is outlined.
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Synthesis of the adaptive controller, including an identification technique and closed loop optimization strategy, is
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pre~mted. Software developnumt, testing, and implementation of the controller is described; special emphasis is given u to on-line programming techniques. Results of the implementation are presented and the development summarized.
Axj(k) c U e (N)
NOMENCLATURE X~j component in output matrix Ax(k) estimate of the ith column of the process Ayt(k) output matrix at time N matrix in control law y~ output error----Yc-yt(k) Ay(k) output error vector 7~ matrix in control law value of control performance criterion at p(N) time k at index on control sequence ~k~ diagonal scaling matrix on Ax(N) in stochastic approximation algorithm index on estimation sequence positive definite gain matrix in sequential least squares estimation algorithm *