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Assignment ID: FG133141090
UFMFV7-15-2 Control – Bristol Institute Of Technology
You are expected to:
1. determine the system transfer function
2. design an PID controller to meet/exceed response requirements from first principles.
3. apply PID tuning rules in SIMULINK to meet/exceed response requirements.
Determine the simplified closed loop equivalent form of the overall system block diagram presented in Figure 2.3.
The PID controller is required to meet or exceed the following response characteristics for a step change in demand position:
1) Maximum rise time tr of 0.12s.
2) Overshoot Mp less than 4.5%.
3) Settling time (error ≤ 1%) Ts less than 0.2s.
4) Steady-state error of 0 for step.
Use standard transfer functions or pole position methods to calculate the proportional(Kp), integral (Ki) and derivative (Kd) PID controller gains for the overall system.
Verify the gains calculated by implementing the system in Simulink.
Discuss any trade-offs for exceeding the response requirements presented in Section 2.3.
For example, what’s happened to rise time, if Overshoot Mp goes up? Discuss the results when each of the above controller requirements goes up or down.
Trial-error rules for PID tuning — Ziegler-Nichols approaches
The aim of this section is to demonstrate your ability to use the course knowledge to learn new techniques. Assumingly you have got a job in a control engineering company, your manager has asked you to take the following task:
Research the literature and find out about manual tuning rules such as the Ziegler-Nichols technique. Tuning rules such as Ziegler-Nichols are difficult to implement on PID controller configurations. Convert your system to a PID controller configuration and apply a suitable tuning process (e.g., Ziegler-Nichols tuning rules) in order to meet/exceed the response characteristics outlined in Section 2.3. You should give a concise overview of PID tuning methods in this section and demonstrate the designed control system by Simulink.