Transfer function of a second order system

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SUMMARY

The discussion centers on the transfer function G(s) of a second-order system as presented in two homework questions, specifically question 1.18 and question 2.5. The participant confirms that G(s) in question 2.5 should match the G(s) from question 1.18, indicating a mistake in the latter question. The lecturer's uncertainty reinforces the conclusion that the transfer function should remain consistent across related problems. This highlights the importance of verifying transfer function calculations in control systems.

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  • Understanding of transfer functions in control systems
  • Familiarity with second-order system dynamics
  • Knowledge of Laplace transforms
  • Experience with problem-solving in engineering coursework
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  • Review the derivation of transfer functions for second-order systems
  • Study the implications of transfer function consistency in control theory
  • Explore common mistakes in transfer function calculations
  • Learn about the application of Laplace transforms in engineering problems
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Students in engineering disciplines, particularly those studying control systems, as well as educators seeking to clarify concepts related to transfer functions and their applications.

influx
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Homework Statement


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Homework Equations


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The Attempt at a Solution


I have done question 1.18 and I understand it completely. However, for question 2.5, I do not understand how they got G(s)? Why isn't the G(s) in question 2.5 the same as G(s) at the bottom of question 1.18? I asked my lecturer and she spent about 10 minutes trying to figure out and eventually said that the answer for question 2.5 is a mistake and that G(s) should've been as in question 1.18. I just want to make sure whether she is right in saying this? Is G(s) in the answer for question 2.5 indeed a mistake? She seemed a bit unsure hence why I am checking on here. The same method (like question 2.5) has been used to calculate transfer function in subsequent questions.

Thanks
 
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It's obvious - G(s) should be the same in 1.18 and 2.5.
She probably seemed befuddled trying to figure out how she could have made the mistake.
 
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