Pure hysteresis system control based on ITAE standard functions

ITAE standard functions;  pure hysteresis;  PID control

Aiming at the pure hysteresis control object, a controller design method based on the ITAE standard optimization function is proposed, which equivalents the closed-loop transfer function composed of controller and object to the ITAE best transfer function with ITAE control index, so as to solve the controller parameters. For pure hysteresis objects, the first-order Pade approximation is used to approximate the pure hysteresis link, and the improved system model is given, and the simulation study is carried out under the condition of model matching and mismatch using the ITAE controller, and the results show that the proposed design algorithm is simple and practical, avoids the complex parameter online adjustment process, and has better stability and robustness than the traditional PID control in the case of perturbation of the system model, which shows the better application prospect of this design method.