Abstract
A new stochastic, predictive, proportional-integral-derivative (PID) control law is proposed which is mathematically equivalent to generalized predictive control (GPC) with a steady state weighting term. The main motivation of this paper is the extension of the classical PID algorithm on industrial computers to do advanced control without employing specialized software. The predictive PID constants and the internal model are chosen by equating the discrete PID control law with the linear form of GPC. The result is a long range predictive control law with a model based PID structure. Use of a first order model yields a PI controller while a second order plant results in a PID structure. The process model order is restricted to a maximum of two although there is no restriction on the choice of GPC tuning parameters. Performance of the predictive PID scheme is shown, via simulation, to be identical to GPC. Results from the use of the predictive PID algorithm for the control of an industrial heat exchanger are also presented.
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