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A system with impulse response is essentially a _______ compensator and used as a ________ filter.
- a)Integral, Comb
- b)Lead, high-pass
- c)Lag, low-pass
- d)Proportional, all pass
Correct answer is option 'C'. Can you explain this answer?
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A system with impulse response is essentially a _______ compensator an...
Lag compensator:
Transfer function:
Transfer function:
If it is in the form of 
then a < 1
If it is in the form of
then a > b
Maximum phase lag frequency: ωm = 1/T√α
Maximum phase lag: ϕm = sin−1(a−1/a+1)
ϕm is negative
then a < 1If it is in the form of
then a > bMaximum phase lag frequency: ωm = 1/T√α
Maximum phase lag: ϕm = sin−1(a−1/a+1)
ϕm is negative
Pole zero plot:
The pole is nearer to the origin.
Filter: It is a low pass filter (LPF)
Effect on the system:
Filter: It is a low pass filter (LPF)
Effect on the system:
- Rise time and settling time increases and Bandwidth decreases
- The transient response becomes slower
- The steady-state response is improved
- Stability decreases
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A system with impulse response is essentially a _______ compensator an...
Understanding Impulse Response
An impulse response characterizes how a system responds to a brief input signal (the impulse). It is a crucial concept in system analysis, particularly in the field of signal processing and control systems.
Lag Compensator
- A lag compensator is designed to improve the stability of a system while introducing a certain amount of phase lag.
- It is particularly useful in low-frequency applications where it enhances the steady-state error without significantly affecting the transient response.
Low-Pass Filter
- A low-pass filter allows signals with a frequency lower than a certain cutoff frequency to pass through while attenuating higher frequencies.
- The lag compensator functions similarly to a low-pass filter as it reduces the system's sensitivity to high-frequency noise and disturbances.
Connection Between Impulse Response, Lag Compensator, and Low-Pass Filter
- The impulse response of a lag compensator exhibits a gradual decay, indicative of its low-pass filtering characteristics.
- By limiting the bandwidth of the system, it ensures that only lower frequencies are amplified, making it effective in reducing high-frequency noise.
Conclusion
Thus, a system with impulse response is essentially a lag compensator and is used as a low-pass filter. This combination allows for better control of system dynamics while maintaining stability and performance in the desired frequency range.
An impulse response characterizes how a system responds to a brief input signal (the impulse). It is a crucial concept in system analysis, particularly in the field of signal processing and control systems.
Lag Compensator
- A lag compensator is designed to improve the stability of a system while introducing a certain amount of phase lag.
- It is particularly useful in low-frequency applications where it enhances the steady-state error without significantly affecting the transient response.
Low-Pass Filter
- A low-pass filter allows signals with a frequency lower than a certain cutoff frequency to pass through while attenuating higher frequencies.
- The lag compensator functions similarly to a low-pass filter as it reduces the system's sensitivity to high-frequency noise and disturbances.
Connection Between Impulse Response, Lag Compensator, and Low-Pass Filter
- The impulse response of a lag compensator exhibits a gradual decay, indicative of its low-pass filtering characteristics.
- By limiting the bandwidth of the system, it ensures that only lower frequencies are amplified, making it effective in reducing high-frequency noise.
Conclusion
Thus, a system with impulse response is essentially a lag compensator and is used as a low-pass filter. This combination allows for better control of system dynamics while maintaining stability and performance in the desired frequency range.
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A system with impulse response is essentially a _______ compensator and used as a ________ filter.a)Integral, Combb)Lead, high-passc)Lag, low-passd)Proportional, all passCorrect answer is option 'C'. Can you explain this answer?
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