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solve ALL steps 1-5 using matlab and/or simulink Gp(s)=60/s(s+50) gc(s)=k s+4/s+

ID: 1813388 • Letter: S

Question

solve ALL steps 1-5 using matlab and/or simulink


Gp(s)=60/s(s+50) gc(s)=k s+4/s+10 Find the transfer function H(s) = theta(s)/theta r,(s). This transfer function will be in terms of the gain K. Determine the differential equation relating input theta,(t) and output theta (t) Your Supervisor asks you to find the step response of the system to the following gain values: K=10 K=38 K=100 Assume that initial conditions arc zero. Simulate this system and plot 9(t). c(t) (error signal) and 0(t) for the given K values. (Suggestion: Plot (Mt) and 0(t) in one graph) For each k value determine whether it reaches the desired steady state, if so how long will it take? What are the system poles? Specify which system is stable? Which value of k is best? Plot 0r(t) and 0(t) when G^t) = tu(t) and K=19. Explain your observation.

Explanation / Answer

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