Question: We have the following linearized system when there is an external torque (uroll, upitch, uyaw) applied: Iroll (Iroll Ipitch Iyaw) n 4 (Ipitch Iyaw) n2

We have the following linearized system when there is an external torque (uroll, upitch, uyaw) applied: Iroll (Iroll Ipitch Iyaw) n 4 (Ipitch Iyaw) n2 = uroll (1) Ipitch 3 (Iroll Iyaw) n2 = upitch (2) Iyaw (Ipitch Iroll) n2 (Ipitch Iroll Iyaw) n = uyaw (3) 1. (5 points) Derive TFs in s-domain with a zero-IC assumption. Please, show each step for full credits. Hints For notational simplicity, introduce the following constant definitions k1 = 4 (Ipitch Iyaw) n2 Iroll k2 = (Iroll Ipitch Iyaw) n Iroll k3 = 3 (Iroll Iyaw) n2 Ipitch k4 = (Ipitch Iroll) n2 Iyaw k5 = (Ipitch Iroll Iyaw) n Iyaw Page 1 of 3

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