FAB35803 Assignment Questions
Learning Outcomes
| No. | Course Learning Outcomes Distribution | Questions | Total
Marks |
|
| CLO 1 | Apply control system’s classical tools in control system analysis (C4) | √ | 4, 1 | 20 |
| CLO 2 | Analyze the frequency response of linear feedback system using graphical plot techniques (C4) | √ | 2 | 12 |
| CLO 3 | Demonstrate computer simulation, test and measurement technique in control system time response performance analysis (P4) | |||
| Total marks | 32 |
Question 1 (10 marks)
The closed-loop transfer function of a system is given as below. Find the number of closed-loop poles located in the right half-plane, left half-plane, and on the 𝑗𝜔-axis by using Routh-Hurwitz criterion. Conclude the system stability.
(10 marks, C3)
20 / 𝑇(𝑠)=𝑠5+4𝑠4+3𝑠3+12𝑠2+5𝑠+6
Question 2 (10 marks)
Figure 1 shows the block diagram of a system, determine:
(a) The open-loop transfer function and the system type
(4 marks, C3)
(b) The static error constants (𝐾𝑝, 𝐾𝑣 and 𝐾𝑎).
(3 marks, C3)
(c) The value of K to yield a 10% error in steady state.
(3 marks, C3)
Figure 1: The block diagram of a system
Question 3 (12 marks)
Consider a unity feedback system shown in Figure 2.
Figure 2: A unity feedback system
(a) Plot the asymptotic Bode plot for the system if 𝐾 = 200. From the plot, determine the gain margin (𝐺𝑀), phase margin (𝑃𝑀), gain cross over frequency (ωgco), phase cross over frequency (ωpco), and hence state and justify the stability of the system.
(9 marks, C4)
(b) Find 𝐾 for the system to yield 𝐺𝑀 = 30𝑑𝐵
(3 marks, C4)
End Of Questions
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