= = Question 2 An aircraft with the attitude of y = 40°, 0 = 5°, 0 = 0° flies at a constant airspeed of va [230, 15, 3]"

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Question 2 An Aircraft With The Attitude Of Y 40 0 5 0 0 Flies At A Constant Airspeed Of Va 230 15 3 1 (98.4 KiB) Viewed 15 times

= = Question 2 An aircraft with the attitude of y = 40°, 0 = 5°, 0 = 0° flies at a constant airspeed of va [230, 15, 3]" m/s. The mass of the aircraft is 5 x 104 kg. The wind speed vector in the body frame is Vb = [2.5, 0, -0.5]" m/s. 2.1. What is the angle of attack, and what is the sideslip angle? (2 marks) 2.2. What is the airspeed vector in the wind frame? What is the airspeed vector in the vehicle frame? What is the ground speed vector in the body frame? (4 mark) 2.3. Suppose the aircraft starts to roll at the rate of 0.35 rad/s. What is the angular velocity in the body frame? What is the required force in the body frame for such an angular velocity? (4 marks) = = = Question 3 Suppose the relationship between the roll angle and the ailerons da can be described by the following transfer function: º(s) a2 da(s) s(s + a) where a 15, az = 3. The maximum aileron deflection is smax - 45, and the maximum allowed rolling angle is emax = 30°. 3.1. What is the largest possible control error of the roll angle during the flight? (1 mark) 3.2. What type of PID controller should be designed so that the closed-loop system behaves like a second-order system? (1 mark) 3.3. If the closed-loop system is expected to have the damping ratio of 2, what are the parameters of the PID controller? (2 marks) 3.4. What is the type of the closed-loop system, and what is the DC gain? (2 marks)