Open AccessControl design for tracking problem of the bilinear control system using observation matrix and pole placement
Author(s) -
Khozin Mu’tamar,
Janson Naiborhu
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1940/1/012009
Subject(s) - control theory (sociology) , bilinear interpolation , control system , control (management) , tracking (education) , controller (irrigation) , linear system , matrix (chemical analysis) , control engineering , observable , computer science , mathematics , engineering , chemistry , physics , artificial intelligence , psychology , mathematical analysis , pedagogy , agronomy , chromatography , electrical engineering , computer vision , biology , quantum mechanics
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.