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Unformatted text preview: ME360 Winter 2011 HW #7 1. For the mechanical system shown below (from HW1 Pr1-a)), a) Find the transfer function G(s) b) Apply the P (proportional) feedback control law ? ( ) = ( ( ) ( )) and find the closed loop transfer function from the reference position ( ) to the actual position ( ) . c) Draw a block diagram for this closed loop control system using the blocks G(s) and K and the signals r(t) and ( ) . d) Using B = 4 and J = 1 , find the value for K to achieve the percentage overshoot = 2 / 2 . e) Plot the trajectory of the closed-loop pole locations as you change K for some J=1 and B=4 . f) What is the system type of G(s) ? Based on the system type, how can you say about the steady state error = lim ( ) = lim ( ( ) ( )) for different input signals, i.e. ( ) = ( ), , 2 /2 ?...
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This note was uploaded on 09/14/2011 for the course ME 360 taught by Professor Soojeon during the Winter '11 term at Waterloo.
- Winter '11