# HW7 - ME360 Winter 2011 HW#7 1 For the mechanical system...

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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 Θ ( ¦ ) . 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 © −ª / √ 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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HW7 - ME360 Winter 2011 HW#7 1 For the mechanical system...

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