Phase (deg) 270 4. Consider a closed-loop system with unity (negative) feedback. The Bode diagram of the open-loop transfer function is given below. Magnitude (dB) -500 -150 -50 10 dB System Frequency (eds): 6.63 Magnitude (B) 0.0778 Буку Frequency(): 10.1 Magnitude ()-705 Frequency(6.63 Phase (deg): -144 Frequency (rad): 10.1 Phase (deg): -180 101 Frequency (rad) a) Find the gain margin, phase margin, gain crossover frequency, and phase crossover frequency. b) Is the closed-loop system stable? What is the steady-state error for step-input?

Delmar's Standard Textbook Of Electricity
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Chapter15: Alternating Current
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Problem 4RQ: 4. What is frequency?
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Phase (deg)
270
4. Consider a closed-loop system with unity (negative) feedback. The Bode diagram of
the open-loop transfer function is given below.
Magnitude (dB)
-500
-150
-50
10 dB
System
Frequency (eds): 6.63
Magnitude (B) 0.0778
Буку
Frequency(): 10.1
Magnitude ()-705
Frequency(6.63
Phase (deg): -144
Frequency (rad): 10.1
Phase (deg): -180
101
Frequency (rad)
a) Find the gain margin, phase margin, gain crossover frequency, and phase crossover
frequency.
b) Is the closed-loop system stable? What is the steady-state error for step-input?
Transcribed Image Text:Phase (deg) 270 4. Consider a closed-loop system with unity (negative) feedback. The Bode diagram of the open-loop transfer function is given below. Magnitude (dB) -500 -150 -50 10 dB System Frequency (eds): 6.63 Magnitude (B) 0.0778 Буку Frequency(): 10.1 Magnitude ()-705 Frequency(6.63 Phase (deg): -144 Frequency (rad): 10.1 Phase (deg): -180 101 Frequency (rad) a) Find the gain margin, phase margin, gain crossover frequency, and phase crossover frequency. b) Is the closed-loop system stable? What is the steady-state error for step-input?
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