Control design for tracking problem of the bilinear control system using observation matrix and pole placement

Abstract

Bilinear control system is widely used, especially in the chemistry and engineering to describe chemical reactions and biological populations. Many of them are discussing about how to stabilize the system. In this paper, control design for tracking problem of the bilinear control system is presented. It is assumed that bilinear control system has full relative degree and the system is observable. Control design is divided into two stages. First, using observation matrix, tracking problem of bilinear control system transformed into stabilization problem of linear control system. Then, the linear control system is stabilized using static feedback control with pole placement. Examples are given to show controller performance.