A Tower Trainer 60 Unmanned Aerial Vehicle has a transfer function where e(s) is the elevator angle and h(s) is the change in altitude (Barkana,

A Tower Trainer 60 Unmanned Aerial Vehicle has a transfer function

where δe(s) is the elevator angle and h(s) is the change in altitude (Barkana, 2005).

a. Assuming the airplane is controlled in the closed loop configuration of Figure P11.1 with G(s) = KP(s), find the value of K that will result in a 30° phase margin.

b. For the value of K calculated in Part a, obtain the corresponding gain margin.

c. Obtain estimates for the system’s %OS and settling times T_s for step inputs.

d. Simulate the step response of the system using MATLAB.

e. Explain the simulation results and discuss any inaccuracies in the estimates obtained in Part c.

                                         

h(s) P(s) 8(s) -34.16s 144.4s + 7047s + 557.2 55 + 13.18s4 + 95.93s3 + 14.61s2 + 31.94s