level quiz

Please try the following quiz.

1. A system has transfer function G(s) = [(s+1)/((1+s/10)(1+s/100))]. The maximum phase lag in its Bode plot is:

2. A system has transfer function G(s) = [ 1/(s+1)]. For the input Ö2sin(t), the output is:

3. Gain Margin of the system G(s) = [ 100/((1+s)(1+s/10))] is:

4. Bode plot:

1	is another name for Nyquist Plot
10	is used to obtain closed-loop bandwidth
Ą	is another name for frequency response
100	plot of the system step-response

5. The system G(s) has a Gain Margin of 0.1. The closed-loop system is stable with C(s) equal to:

6. For a minimum phase system the magnitude plot has a shape of -40 dB/decade for large w, the phase for large w is:

7. Input to a linear time-invariant system is A sin(w₀ t):

8. Frequency response is a powerful tool in control theory because:

transient output is B sin(w₀ t + f)	it indicates the filtering properties of the system
steady-state output is A Đf	open loop frequency response can be used to test for closed-loop stability
steady-state output is in the form B sin(w₀ t + f)	it gives the steady-state of the output for sinusoidal inputs
complete output is B cos(w₀ t)	it is the only tool available

9. Phase Margin of the system G(s) = [ 10/((1+s)(s+100))] is:

10. Gain Margin of the system G(s) = [ 1/(s²)] is:

11. Frequency Response of a linear time-invariant system is:

12. A system has transfer function G(s) = [((1+s/0.8)(1+s/90))/((1+s/0.01)(1+s/7)(1+s/2000))]. Its DC gain is:

transient response to a sinusoidal input	1 dB
total response to a sinusoidal input	0 dB
steady-state response to a sinusoidal input	20 dB
response to a unit-step input	Ą dB

13. Bode plot of [ 1/s] will cross 0dB at:

Last Modified: 20:24:08 2003/09/04