Which of the following statements is incorrect?a)Lead compensator is u...
The phase-lead controller adds zero and a pole, with the zero to the right of the pole, to the forward-path transfer function. The general effect is to add more damping to the closed-loop system. The rise time and settling time are reduced in general.
→ Reduces the steady state error
→ Reduces the speed of response
→ Increases the gain of original network without affecting stability
→ Permits the increases of gain if phase margin is acceptable
→ System becomes lesser stable
→ Reduces the effect of noise
→ Decrease the bandwidth
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Which of the following statements is incorrect?a)Lead compensator is u...
Lead and Lag Compensators in Control Systems
Lead and lag compensators are two types of frequency domain compensators used in control systems. They are used to improve the performance of a control system, by adjusting the frequency response of the system.
Lead Compensator
A lead compensator is a type of frequency domain compensator used to increase the transient response of a system. It is used to reduce the settling time of a system, by adding a lead to the system's phase response. A lead compensator is used in systems that have a slow response, and need to be made faster.
Lag Compensator
A lag compensator is a type of frequency domain compensator used to reduce the steady-state error of a system. It is used to add a lag to the system's phase response, which reduces the gain of the system at high frequencies. A lag compensator is used in systems that have a high steady-state error, and need to be made more accurate.
Incorrect Statement
The incorrect statement is option 'D', which states that a lag compensator always stabilizes an unstable system. This is not true, as a lag compensator can only stabilize a system if the system is marginally stable. If the system is unstable, a lag compensator cannot stabilize it.
Conclusion
In summary, lead and lag compensators are two types of frequency domain compensators used in control systems. A lead compensator is used to reduce the settling time of a system, while a lag compensator is used to reduce the steady-state error of a system. The incorrect statement is option 'D', which states that a lag compensator always stabilizes an unstable system.
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