You are given the following transfer function, H(s) = 20 (s + 5s + 25) (s...
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You are given the following transfer function, H(s) = 20 (s² + 5s + 25) (s + 0.2) (s² + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o = 5 rad/s, co= 50 rad/s. Specifically plot the points at co = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram. You are given the following transfer function, H(s) = 20 (s² + 5s + 25) (s + 0.2) (s² + 5s + 2500) (a) Plot the bode diagram clearly showing the slopes of the asymptotes and the height of any peaks. Compute the exact phase and magnitude at the frequencies o = 5 rad/s, co= 50 rad/s. Specifically plot the points at co = 5 rad/s, o = 50 rad/s and clearly mark these points on your Bode plot. Explain why your results make sense with regards of heights of peaks and asymptotes. Your explanation is important. (Do not use Matlab! A Matlab graph will not be accepted) (b) The input to the system is x(t) = 10 sin(100t), what is the output, y(t) in steady state? Roughly sketch both the input and the output on the same graph. Explain your sketch based on the Bode diagram.
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Separate the transfer function We can separate the transfer function into three parts A constant gain of 20 A quadratic terms25s25which represents a complex conjugate pair of poles at 25 j493 A term w... View the full answer
Related Book For
Fundamentals of Cost Accounting
ISBN: 978-0077398194
3rd Edition
Authors: William Lanen, Shannon Anderson, Michael Maher
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