CP10.4 Consider the aircraft unity feedback control system in Figure CP10.4, where ( ) t is the pitch rate (rad/s) and (

CP10.4 Consider the aircraft unity feedback control system in Figure CP10.4, where θ( )t 



is the pitch rate

(rad/s) and δ( )t is the elevator deflection (rad). The four poles represent the phugoid and short-period modes. The phugoid mode has a natural frequency of 0.1 rad/s, and the short period mode is 1.4 rad/s.

(a) Using Bode plot methods, design a phase

lead compensator to meet the following specifications:

(1) settling time (with a 2% criterion) to a unit step of

Ts ≤ 2 s, and (2) percent overshoot of P O. . ≤ 10%.

(b) Simulate the closed-loop system with a step input of 10°/s, and show the time history of θ ( )t .