Tuning PID controllers using error-integral criteria and response surfaces based optimization

摘要

A method for tuning a Proportional, Integral, Derivative (PID) controller in order to optimize its response is presented. A state-space realization of the controller and the plant is used. A response surface approximation-based optimization approach is used to minimize the number of detailed controller response analyses. A heuristic algorithm is used to select designs that are close to D-optimal designs to construct the initial linear approximation. The tuning methodology is directly applicable to multi-input, multi-output control systems and is shown to obtain improved results compared to the traditional tuning techniques such as Ziegler-Nichols method. Realistic applications are provided to illustrate the method outlined in this paper.