(a) The model for a position control system using a DC motor is shown in Figure 1.1. Calculate the value of K₁ and K₂ so that the response peak time is 0.2 second and the overshoot for a unit step input is less than 4%. [Satu model untuk satu sistem kawalan kedudukan yang menggunakan motor DC ditunjukkan didalam Rajah 1.1. Kirakan nilai K, dan K₂ supaya sambutan masa puncak ialah 0.2 saat dan terlajak untuk input unit langkah adalah kurang daripada 4%.]

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Question 1
[Soalan 1]
(a) The model for a position control system using a DC motor is shown in Figure 1.1.
Calculate the value of K₁ and K₂ so that the response peak time is 0.2 second and the
overshoot for a unit step input is less than 4%.
[Satu model untuk satu sistem kawalan kedudukan yang menggunakan motor DC ditunjukkan didalam
Rajah 1.1. Kirakan nilai K, dan K₂ supaya sambutan masa puncak ialah 0.2 saat dan terlajak untuk
input unit langkah adalah kurang daripada 4%.]
R(s)
K₁
s(s+1)
1+ K₂s
Figure 1.1
[Rajah 1.1]
Y(s)
Transcribed Image Text:Question 1 [Soalan 1] (a) The model for a position control system using a DC motor is shown in Figure 1.1. Calculate the value of K₁ and K₂ so that the response peak time is 0.2 second and the overshoot for a unit step input is less than 4%. [Satu model untuk satu sistem kawalan kedudukan yang menggunakan motor DC ditunjukkan didalam Rajah 1.1. Kirakan nilai K, dan K₂ supaya sambutan masa puncak ialah 0.2 saat dan terlajak untuk input unit langkah adalah kurang daripada 4%.] R(s) K₁ s(s+1) 1+ K₂s Figure 1.1 [Rajah 1.1] Y(s)
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