Industrial System Equivalent to Second-Order Process with Time Delay

An industrial system can be equivalently represented as a second-order process with time delay, indicating that its dynamic response characteristics resemble those of a second-order system incorporating transport delay. The system's actuator exhibits a dead zone of 0.07 and a saturation limit of 0.7. The sampling time is set to T=0.01 seconds. The reference input signal is specified as r(t)=1.5. For this system configuration, we address three primary objectives: 1) Design a fuzzy controller to achieve rapid output tracking of the reference input; 2) Conduct performance comparison between fuzzy control and PID control strategies; 3) Analyze performance differences between the system with and without time delay. Implementation considerations would involve designing fuzzy membership functions for error and error derivative inputs, implementing rule-base inference using Mamdani or Sugeno methods, and tuning controller parameters through simulation. For PID comparison, Ziegler-Nichols or Cohen-Coon tuning methods could be applied. Delay analysis would require implementing Padé approximations or Smith predictors in the control structure.