Contro Systems - Using Partial Fraction Expansion on Transfer Function

AI Thread Summary
The discussion revolves around solving a control systems problem involving a system with a damping ratio of 0.5, a natural frequency of 100 rad/s, and a DC gain of 1, specifically finding the response to a unit step input. The main challenge highlighted is the difficulty in performing partial fraction expansion for the transfer function. Participants mention techniques such as cover-up rules and equating coefficients as potential methods for solving the problem. The conversation emphasizes the need for clarity in applying these mathematical techniques to achieve the correct response. Overall, the thread seeks guidance on effectively using partial fraction expansion in control system analysis.
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Homework Statement


A system has damping ratio 0.5, natural freq. 100 rad/s, DC gain of 1. Find the response of the system to a unit step input.


Homework Equations



Im having trouble doing the partial fraction expansion.

The Attempt at a Solution



I have attached a word document using the equation editor.
 

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Physics news on Phys.org
cover up rules? equating coefficients?
 

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