Robust PIDA Controller Design by Cuckoo Search for Liquid-Level Control System

The three-tank (3-tank) liquid-level control system commonly exists in industries under the proportional-integral-derivative (PID) control loop. However, the proportional-integral-derivative-accelerated (PIDA) can yield better responses than the PID for higher order plant. In this paper, the robust PIDA controller design by the cuckoo search (CS) for the 3-tank liquid-level control system is proposed. Results obtained will be compared with the PID controller designed by the CS. As results, the responses of the 3-tank liquid-level controlled system with the robust PIDA controller optimally designed by the CS are better than the PID controller designed by the CS. Due to model uncertainty within ±10% of each parameter of the nominal plant model, the robust PIDA controller optimized by the CS can provide the very satisfactory responses in both time and frequency domains with robust performance and robust stability.