Method for controlling an installation having a non-linear behaviour and particularly an electrical arc using an adaptive controller of the proportional-integral type

摘要

In the procedure the regulator is controlled according to parametric values of proportionality (po) and the integration parameter (io). For a given series of possible control values (p,i) for the regulator one simulates by computer the operation of the control loop in the vicinity of a given reference position. This allows determination of the response time (X1) and the amplitude of response (X2), as well as the efficiency of the control (X3) and the effect of random perturbations (X4). An optimisation function is calculated based on these measurements (X1-X4) with weighting coefficients, in order to minimise the value of the function and thus determine the pair of values (pi,io) corresponding to this minimised function.