What Is the Overall Transfer Function of This Closed Loop Control System?

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SUMMARY

The overall transfer function of the closed loop control system is derived from the forward path transfer functions of 2 and 1/(s+1) and the feedback transfer function of s. The calculation involves applying the voltage divider rule to combine these elements. The resulting transfer function can be expressed as T(s) = (2 * (1/(s+1))) / (1 + s * (2 * (1/(s+1)))) after simplification.

PREREQUISITES
  • Understanding of transfer functions in control systems
  • Familiarity with the voltage divider rule
  • Basic knowledge of Laplace transforms
  • Concept of closed loop control systems
NEXT STEPS
  • Study the derivation of transfer functions in closed loop systems
  • Learn about the implications of feedback in control systems
  • Explore the application of the voltage divider rule in circuit analysis
  • Investigate the stability criteria for closed loop control systems
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Control system engineers, electrical engineering students, and anyone involved in designing or analyzing closed loop control systems.

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Homework Statement


a closed loop control system has a forward path having two series elements of transfer fuctions 2 and 1/s+1.If the feedback has a transfer function of s,what is the overall transfer function of the system?


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The Attempt at a Solution

 
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Write out a voltage divider like answer, and then work from there! That should get you there.
 

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