Question
9. Here are plots depicting the transfer functions of four different second-order systems: (a) (b) -10 -10 Re 10 Re -10 10 Im 10
9. Here are plots depicting the transfer functions of four different second-order systems: (a) (b) -10 -10 Re 10 Re -10 10 Im 10 (c) Im 10 (d) -10 -10 Re -10 10 Re -10 Im 10 10 For each transfer function G(s), the height of the surface shown corresponds to |G(s) and the color corresponds to G(s). The height has been truncated at an arbitrary value though |G(s) may exceed this value. Here are plots depicting the responses of the same four systems to impulse inputs: response 0.15 (i) 0.10 0.05 -0.05 response 0.07 0.06 0.05 (ii) 0.04 0.03 0.02 0.01 response 0.20 0.15 (iii) 0.10 time (seconds) (iv) 0.05 response 0.10 0.05 time (seconds) -0.05 2 3 4 Which impulse response corresponds to each plot of G(s)? Justify your answer. time (seconds) time (seconds)
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