Robust tuned PID controller with PSO based on two-point kinetic model and adaptive disturbance rejection for a PWR-type reactor

Abstract

Nonlinear systems such as nuclear reactor dynamics are associated with parametric uncertainties and stability conditions. These properties must be taken into account in controller design. In this paper, an effective and robust Proportional–Integral–Derivative (PID) controller is designed and tuned. Particle Swarm Optimization (PSO) is used as a metaheuristic algorithm to optimize PID gains. The PSO–PID controller is scheduled based on the power level control of a PWR-type reactor. According to Axial Offset (AO) power-distribution characteristics in the PWRs, the two-point kinetic model is used with a constant AO strategy. Lyapunov stability synthesis is intended to guarantee the stability condition of the system at various time intervals. Disturbance Rejection System (DRS) is designed based on a Lyapunov approach to avoid output disturbance. The control signal disturbance is properly removed by the designed DRS. Simulation results show output performance and robustness of the tuned PSO–PID controller against parametric uncertainties.