Advanced Control Systems - Design and Simulation of PID and Resonant Controllers - Engineering Assignment Help

Assignment Task :

Design a PID controller to control this time delay system. Since there is an approximation used to approximate the time delay and there is a difference between the design model and the actual plant, we may need to adjust the desired closed-loop performance in order to obtain stable closed-loop control system. You may start with all desired closed-loop poles positioned at the plant pole −1, then simulate the closed-loop re- sponse with unit step set-point signal by suitably choosing the sampling interval and simulation time. If the closed-loop system is oscillatory or unstable, then you reduce the magnitude of the poles by half, and re- peat the design and simulation, until you get the stable closed-loop system with fastest response possible yet without oscillation. You may use the pole-zero cancellation technique to simplify the computation. 

where the input is voltage and the output is vibration speed. Design a PID controller to control this mechanical system, where all desired closed-loop poles are positioned at −10. Simulate the closed-loop out- put response to a unit step set-point signal and the response to an input disturbance with amplitude −3, which occurs at time t = 3. Because the system is oscillatory, you can not cancel any plant pole. Also, you need to suitably choose your simulation time and sampling interval in order to obtain good simulation results (check the configuration pa- rameters in Simulink and choose a smaller sampling interval if it does not behave well).

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