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A simplified version of the attitude rate control for the F-94 or X-15 type aircraft is shown in Figure P10.3. When the vehicle is flying at four times the speed of sound (Mach 4) at an altitude of 100,000 ft, the parameters are [26]

Design a compensator Gc(s) so that the response to a step input has an overshoot of less than 5% and a settling time (with a 2% criterion) of less than 5 seconds.

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