The work of ACS in continuous-path mode in the horizontal plane

Consider the dynamics of the aircraft on display line the path. Let the ACS realized Jos, and the specified list is formed according to (6.4). The aircraft is flying to your course, ie , and zero roll.

At the initial time in ACS received a signal to transfer the aircraft to another line path, located to the left of the same.

With a control signal , a signal proportional to the deviation. ACS rejects the ailerons and the airplane will roll on the left wing. The flight path will fulfill a given signal roll . In this case, return the ailerons to neutral.

When heeled appears horizontal component of lift, which will slip into wings. The horizontal component of lift will bend the trajectory of the aircraft, ie, rotate the velocity vector to the left. In addition, sustained in the traveling on the aircraft will yaw moment, which will expand the longitudinal axis of the aircraft after the velocity vector. At a turn on the course in the law (6.4) component appears , which seeks to reduce the specified bank.

Reduction and increase will decrease the set value of the angle of heel. At some point, these signals will be equal, given list will be equal to zero, while the maximum deviation of the exchange rate. Later ACS translates the plane to the right bank. The trajectory is bent in the other direction, the plane turns to the right, returning to a course. The result is a smooth transition to the desired trajectory plane with a given rate and zero roll.

The aircraft is displayed on a new set point of the track without static error. This is evident from the expressions of the transfer functions:

, ie .