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1 s+a s+b → The block diagram above shows two transfer functions cascaded in series. The transfer function II(s) of the combined system is known as a lag compensator in controls system design if a < b. Suppose a 100 and b = 10,000. (a) Give the frequency response function G(w) = II (jw) (b) Please describe its asymptotic behavior (the value if constant, or the slope) for the following three regimes: i. low-frequency w b. (c) Sketch the Bode magnitude and phase plots, using decibels as the unit of magnitude and degrees as the unit of phase (d) Suppose the system is driven by a sinusoid. i. If the sinusoid's frequency is 10 Hz, is it amplified, attenuated, or approximately the same? ii. If the sinusoid's frequency is 500 Hz, is it amplified, attenuated, or approximately the same?

1 s+a s+b → The block diagram above shows two transfer functions cascaded in series. The transfer function II(s) of the combined system is known as a lag compensator in controls system design if a < b. Suppose a 100 and b = 10,000. (a) Give the frequency response function G(w) = II (jw) (b) Please describe its asymptotic behavior (the value if constant, or the slope) for the following three regimes: i. low-frequency w b. (c) Sketch the Bode magnitude and phase plots, using decibels as the unit of magnitude and degrees as the unit of phase (d) Suppose the system is driven by a sinusoid. i. If the sinusoid's frequency is 10 Hz, is it amplified, attenuated, or approximately the same? ii. If the sinusoid's frequency is 500 Hz, is it amplified, attenuated, or approximately the same?

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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1 s+a s+b → The block diagram above shows two transfer functions cascaded in series. The transfer function II(s) of the combined system is known as a lag compensator in controls system design if a < b. Suppose a 100 and b = 10,000. (a) Give the frequency response function G(w) = II (jw) (b) Please describe its asymptotic behavior (the value if constant, or the slope) for the following three regimes: i. low-frequency w <a, ii. intermediate frequency a<w<b, and iii. high frequency, w > b. (c) Sketch the Bode magnitude and phase plots, using decibels as the unit of magnitude and degrees as the unit of phase (d) Suppose the system is driven by a sinusoid. i. If the sinusoid's frequency is 10 Hz, is it amplified, attenuated, or approximately the same? ii. If the sinusoid's frequency is 500 Hz, is it amplified, attenuated, or approximately the same?
Transcribed Image Text:1 s+a s+b → The block diagram above shows two transfer functions cascaded in series. The transfer function II(s) of the combined system is known as a lag compensator in controls system design if a < b. Suppose a 100 and b = 10,000. (a) Give the frequency response function G(w) = II (jw) (b) Please describe its asymptotic behavior (the value if constant, or the slope) for the following three regimes: i. low-frequency w <a, ii. intermediate frequency a<w<b, and iii. high frequency, w > b. (c) Sketch the Bode magnitude and phase plots, using decibels as the unit of magnitude and degrees as the unit of phase (d) Suppose the system is driven by a sinusoid. i. If the sinusoid's frequency is 10 Hz, is it amplified, attenuated, or approximately the same? ii. If the sinusoid's frequency is 500 Hz, is it amplified, attenuated, or approximately the same?
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