Consider the following statements:1. Closed loop system is less sensit...
For the closed loop control system shown above, let, H = C/R transfer function.
Thus, closed loop system is more sensitive to variation in feedback path parameters than variation in forward path parameters. Hence statement-1 is false. Thus, statements 2 and 3 are only correct.
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Consider the following statements:1. Closed loop system is less sensit...
Statement 1: Closed loop system is less sensitive to variations in feedback path parameters than variations in forward path parameters.
In a closed loop control system, the output is fed back and compared with the desired input to generate an error signal, which is then used to adjust the control input. The feedback path includes elements such as sensors, amplifiers, and other components that measure the output and provide feedback to the controller.
On the other hand, the forward path includes elements such as the controller, actuators, and other components that generate the control input based on the error signal.
Variations in the parameters of the feedback path can affect the system's response, but they are generally less significant compared to variations in the parameters of the forward path.
This is because the feedback path mainly affects the gain of the system, while the forward path affects both the gain and the dynamics of the system. Changes in the gain can be compensated for by adjusting the controller, while changes in the dynamics can significantly alter the system's behavior.
Therefore, statement 1 is correct.
Statement 2: Feedback can improve the stability or may be harmful to stability if it is not properly designed and applied.
Feedback plays a crucial role in controlling the stability of a system. It can either improve the stability or lead to instability if not properly designed and applied.
When feedback is properly designed and applied, it can help in reducing the effects of disturbances and uncertainties, and improve the system's stability. It can provide robustness to the system by actively adjusting the control input based on the measured output.
However, if feedback is not properly designed or applied, it can lead to instability. This can happen if the feedback loop introduces additional dynamics that interact with the system's dynamics in an unfavorable way, leading to oscillations, excessive overshoot, or even instability.
Therefore, statement 2 is correct.
Statement 3: Feedback controls the time response of the system by adjusting the location of poles.
The time response of a system is determined by the location of its poles in the complex plane. Poles represent the roots of the system's characteristic equation, which define the system's dynamics.
By adjusting the location of the poles, the system's time response can be controlled. This can be done by designing the feedback controller such that it introduces additional poles or shifts the existing poles to desired locations.
For example, if a system has slow dynamics and needs a faster response, the feedback controller can be designed to introduce additional poles that make the system respond faster. On the other hand, if a system is too fast and needs a slower response, the feedback controller can be designed to shift the existing poles to slower locations.
Therefore, statement 3 is correct.
Hence, the correct answer is option A) 2 and 3 only.