Cylindrical heat exchanger trajectory planning and tracking using orthogonal functions

This paper proposes a trajectory planning and tracking approach for cylindrical heat exchanger process that is considered, under some assumptions, as a bilinear system. The proposed technique is based on orthogonal functions and especially the use of operational integration and product matrices. These operational tools allow the conversion of a bilinear differential state equation into an algebraic one depending on initial and final conditions. Arranging and solving the obtained algebraic equation lead to an open loop control law that allows the planning of a system trajectory. The parameters setting of the tracking state feedback closed loop control is yielded by considering a reference model characterizing the desired performances. A high gain observer is associated to heat exchanger process in the planning trajectory step and tracking one. A planned open loop control and a state feedback control that ensures tracking of reference trajectory were applied to the system exchanger associated to observer which is subject to noise and disturbance.