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2) The closed loop transfer function for a control system is 0(s) 14(s+20) 0 amd (s) (s+10s+50)(s+10) Note: One number in the denominator was changed from the draft value a) Sketch the poles and zeros for this transfer function on the complex plane (plot your answers using x's for poles and o's for zeros, and write out the value of each complex number). b) Indicate which of the following options characterize the spacecraft's attitude motion in response to a step change in commanded attitude. You may select more than one, if appropriate. (1) An exponentially damped sinusoid. (2) Two exponentially damped sinusoids. (3) A component that decays exponentially. (4) Two components that decay exponentially. (5) A sinusoid that grows exponentially. (6) Two sinusoids that grow exponentially. (7) A component that grows exponentially. (8) Two components that grow exponentially.

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