Answer Happy

Question 3 Suppose the relationship between the roll angle o and the ailerons da can be described by the following transfer function: +(s) az 8a(s) s(s+a) where an = 15, az = 3. The maximum aileron deflection is 8max = 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)