Question

The below step response was obtained during an experiment for the system described by $H(s) = \frac{K}{s^2 + as + b}$ Amplitude Step Response 14 12 10 8 6 4 2 0 0 2 4 6 8 10 12 Time (seconds) (a) (5 points) From the above plot, find the following time response characteristics of $H(s)$: (i) rise time $T_r$ (ii) 2% settling time $T_s$, (iii) peak time $T_p$, (iv) steady-state value $C$ and (v) maximum overshoot $M_p$. (b) (4 points) Identify the unknown system parameters $K$, $a$ and $b$.

          The below step response was obtained during an experiment for the system described by
$H(s) = \frac{K}{s^2 + as + b}$
Amplitude
Step Response
14
12
10
8
6
4
2
0
0
2
4
6
8
10
12
Time (seconds)
(a) (5 points) From the above plot, find the following time response characteristics of $H(s)$:
(i) rise time $T_r$
(ii) 2% settling time $T_s$,
(iii) peak time $T_p$,
(iv) steady-state value $C$ and
(v) maximum overshoot $M_p$.
(b) (4 points) Identify the unknown system parameters $K$, $a$ and $b$.

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The below step response was obtained during an experiment for the system described by
H(s) = (K)/(s^2 + as + b)
Amplitude
Step Response
14
12
10
8
6
4
2
0
0
2
4
6
8
10
12
Time (seconds)
(a) (5 points) From the above plot, find the following time response characteristics of H(s):
(i) rise time Tr
(ii) 2% settling time $Ts$,
(iii) peak time Tp,
(iv) steady-state value C and
(v) maximum overshoot Mp.
(b) (4 points) Identify the unknown system parameters K, a and b.

Added by Joseph W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Vishal Gupta

Step 1

From the plot, we can see that the response reaches 10% of its final value at around 6 seconds and 90% of its final value at around 12 seconds. Show more…

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The below step response was obtained during an experiment for the system described by K Step Response 12 10 Amplitude 6 8 10 12 Time (seconds) (a) (5 points) From the above plot, find the following time response characteristics of H(s): i) rise time T (ii) 2% settling time Ts, (iii) peak time Tp, (iv) steady-state value C and (v) maximum overshoot Mp. (b) (4 points) Identify the unknown system parameters K, a and b.

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