Study on Setpoint Tracking Performance of the PID SISO and MIMO Under Noise and Disturbance for Nonlinear Time-Delay Dynamic Systems

This paper presents a case study of the setpoint tracking performance proportional integral derivative (PID) controller on Single-Input Single-Output (SISO) and Multi-Input Multi-Output (MIMO) nonlinear digital plants under Gaussian white noise constant load disturbance for time-delay dynamic system. With objective getting better understanding discrete-time PID controller, we proposed using two SISO MIMO plants, then do numerical simulations along with addition to simulate real environment. In this paper, compare results system working without disturbance. The result shows that plant, is well follow even heavy compared indexes controllers in terms maximum error, Root mean square error (RMSE), Integral (ISE), absolute (IAE), time-weighted (ITAE).