# HW6 - Homework 6 Eric Feron April 4 2004 1 A 564,000 lbs...

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Homework 6 Eric Feron April 4, 2004 1. A 564,000 lbs Boeing 747 is approaching land at seal level (ﬂaps and landing gear down). Assuming a velocity of 221 ft/sec (Mach 0.198), the lateral-directional perturbation equations are ˙ v ˙ r ˙ p ˙ φ = - 0 . 0890 - 2 . 19 0 0 . 319 0 . 0760 - 0 . 217 - 0 . 166 0 - 0 . 602 0 . 327 - 0 . 975 0 0 0 . 15 1 0 v r p φ + 0 . 0327 - 0 . 151 0 . 0636 0 δr y = h 0 1 0 0 i . (a) Compute the corresponding transfer function linking r , the yaw rate (expressed in rad/sec), and δr , the rudder angle (expressed in rad). (b) Draw the uncompensated root-locus of this system. (c) Draw the Frequency response of this system. (d) Design a compensator for this system. What maximum band- width are you comfortable with? (e) The rudder is limited to π/ 6 rad maximum deﬂection. Assume the B747 is subject to a wind gust throwing it at an initial yaw

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HW6 - Homework 6 Eric Feron April 4 2004 1 A 564,000 lbs...

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