What is the Transfer Function of an Open-Loop System?

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In summary, the conversation discusses the concept of open and closed loop systems and their corresponding transfer functions. The open-loop transfer function, B(s)/E(s) = G(s)H(s), is described as the gain from the input R to the output of H, while the closed-loop transfer function, C(s)/R(s) = G(s)/{1+G(s)H(s)}, takes into account the feedback loop. The open-loop transfer function is a useful tool for analyzing stability and dynamic behavior of a system.
  • #1
dominicfhk
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Homework Statement


Hi, guys. I am watching this guy on youtube explaining block diagram of close and open loop system. While I understand how a close-loop transfer function is equals to C(s)/R(s) = G(s)/{1+G(s)H(s)}, I don't quite understand how the transfer function of an open-loop system equals B(s)/E(s) = G(s)H(s).
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The Attempt at a Solution


I thought a transfer function is defined as the laplace transformation of a system output over the laplace transformation of a system input, which is C(s)/R(s). So why not the open loop transfer function equals C(s)/R(s) = G(s)? The feedback loop is disconnected, why we still need to take that into account? Or is he redefining the feedback as the output of the system, instead of C(s)? It so, it is a standard practice even outside his class? Thank you so much!

Edit:
Link to the video: http://www.youtube.com/watch?v=X4hPVxZlrPU&feature=bf_next&list=PL5105727DD6E8DE98
 
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  • #2
It's a matter of semantics, or nomenclature.You open the loop at the summing junction and look at the gain from the input R the output of H.

You have a good point, but that's the jargon and you have to go with the flow!

In studying the stability of the closed loop the open-loop transfer function is the prime tool for doing that.
 
  • #3
the 'open loop' transfer function is what you would get if you were to disconnect the feedback wire, where it is fed back to the input, and call the endpoint your 'output'. (i hope that's not too convoluted ..).

it is a very useful tool for analyzing the effect of the feedback on the positions of the closed loop poles, which control the stability and dynamic behavior of the system.
 

What is the difference between open-loop and close-loop systems?

Open-loop and close-loop systems are two types of control systems used in various industries. The main difference between the two is that open-loop systems do not have a feedback loop, while close-loop systems do. In open-loop systems, the output is not measured or compared to the desired output, while in close-loop systems, the output is measured and compared to the desired output, and adjustments are made accordingly.

What are the advantages of using open-loop systems?

Open-loop systems are simpler and less expensive to design and implement compared to close-loop systems. They also have a faster response time since there is no feedback loop to slow down the process. Additionally, open-loop systems are less prone to stability issues since there is no feedback to cause instability.

What are the disadvantages of using open-loop systems?

One of the main disadvantages of open-loop systems is that they do not account for external disturbances or changes in the system, which can affect the output. This makes them less accurate and reliable compared to close-loop systems. Additionally, open-loop systems cannot correct errors or adjust to changes in the system automatically, which can lead to a significant loss of control.

What are the applications of open-loop systems?

Open-loop systems are commonly used in applications where precision and accuracy are not critical. For example, they are used in appliances such as washing machines and microwave ovens, where minor deviations in the output do not affect the overall performance of the system. They are also used in industries where the cost and complexity of the system are more important factors than precision, such as in conveyor belts and assembly lines.

What are the applications of close-loop systems?

Close-loop systems are used in applications where precision and accuracy are crucial, such as in aerospace and automotive industries. They are also used in critical systems such as medical equipment, where any error can have severe consequences. Additionally, close-loop systems are used in industries where the system needs to adjust to changes and disturbances in real-time, such as in robotics and process control systems.

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