Answer Happy

Question 4 For the given linear time-invariant system modeled by () = 6 5))+(4:5) *) u y = (1 0) ) Let L = (13) be the observer gain. 4.1. If L = (1), is the observer stable? (2 marks) 4.2. If l = 1, , what is the range of l, so that the observer is stable and its characteristic equation has real eigenvalues only? (2 marks) Question 5 A small fixed-wing aircraft is at the position P1 = (0,0)" with the heading angle #1 = -45. It flies in a constant speed of 3.4 m/s. It needs to reach a position p2 = (0,10) "m with the arrival heading angle of 42 = 45. The maximum allowed roll angle of the aircraft is 30". The gravity constant is 9.8 m/s? 5.1. Compute the aircraft's minimum turning radius (round it to the closest integer). (1 mark) 5.2. If the aircraft follows a type of Dubins path, i.e., RSL, what is the length of this path? (6 marks) 5.3. Suppose the aircraft makes a right turn at the initial position. What is the shortest path length if the terminal heading angle 42 is not constrained? (3 marks) North East 1 N 42 P1 P2