Stability comparison of different controllers for hydraulic turbine fractional order interval parameter time-delay system

This paper studies the stability comparison of four controllers for a hydraulic turbine fractional order interval parameter time-delay system. Considering terms uncertainty and time-lag, system is established by using calculus identification technology. Through edge theorem D-decomposition method, calculation process controller region derived in every detail. Subsequently, different including PID, PID plus second derivative (PID2D), (FOPID) (FOPID2D) controllers, are applied According to experimental results, effect parameters kd, kd2, α λ on kp ki analysed variable law regions governing presented. Finally, these compared results validate superiority FOPID2D over other controllers.