Trajectory tracking of bilinear systems using high gain observer

Abstract

This paper proposes a trajectory tracking approach for bilinear systems using high gain observer. The proposed technique is based on the use of 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. Arranging and solving the obtained algebraic equation lead to a feedback control law that allows the track of a system trajectory. High gain observer is applied to the controlled system in order to ensure the robust track of system trajectory. The adjusting high gain observer parameter allows to system to track its trajectory despite noise. The proposed method is applied to a cylindrical heat exchanger process that is considered, under some assumptions, as a bilinear system.