Authors: Adel Abdulrahman, Mohamad Bagash, Osama Abdelkhalik
The MPC algorithm concept is widely used in the process industry, but its application in the formation flaying control is rare. This paper presents a MPC algorithm for the formation in an orbit based on the leader-following approach, the linear model implemented in the MPC algorithm is based on the kepler's nonlinear dynamic equation for the relative position. In the suggested control algorithm, a control is to be applied as long as the formation is moving in a prescribed target interval. As the formation leaves that interval, the formation can be left to move naturally after imposing the proper initial states to cause the formation to return back to that interval with approximately the required configuration.