A method is proposed to optimal-tune the parameters of PID controllers
. Different from traditional techniques, rite tuning procedure of the
proposed method is described in terms of fuzzy rules, in which the inp
ut variables are the error signal and its derivative, and the output v
ariables are the PID parameters. A generic algorithm (GA) is then used
to search for the optimal PID parameters that will minimize the integ
ral of the squared error. In the simulation examples, comparison betwe
en the proposed method and other tuning techniques is made. In additio
n, simulation is also carried out on a ball and beam system to show th
e application of the proposed method to nonlinear systems. (C) 1997 Th
e Franklin Institute.