A fighter aircraft has the transfer function
where 
is the pitch rate (rad/s) and 5 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. The block diagram is shown in Figure CP10.4. (a) Let the lead compensator be
where |z| 
.
