Question: The transfer function relating the output engine fan speed (rpm) to the input main burner fuel flow rate (lb/h) in a short takeoff and landing

The transfer function relating the output engine fan speed (rpm) to the input main burner fuel flow rate (lb/h) in a short takeoff and landing (STOL) fighter aircraft, ignoring the coupling between engine fan speed and the pitch control command, is (Schierman, 1992)

1.3s7 + 90.5s6 + 1970s + 15,000s +3120s 41, 300s? 5000s 1840

a. Find how many poles are in the right half-plane, in the left half-plane, and on the jω-axis.

b. Is this open-loop system stable?

1.3s7 + 90.5s6 + 1970s + 15,000s +3120s 41, 300s? 5000s 1840 + 103s7 + 1180s6 + 4040ss + 2150s4 8960s3 10, 600s2 1550s- 415 G(s) :

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