Nonlinear state feedback control of bilinear systems

Author

Hamdi, Ahmed ; Kardous, Zohra ; Benhadj Braiek, Naceur

Author_Institution

Nat. Higher Eng. Sch. of Tunis, ENSIT Univ. of Tunisia, Tunis, Tunisia

fYear

2015

fDate

28-30 April 2015

Firstpage

454

Lastpage

459

Abstract

The main contribution of this paper is the stabilization of bilinear systems by state feedback control. An extension of nonlinear feedback control based on the NonLinear Pole Placement technique (NLPP) is proposed. Then a polynomial feedback control approach is developed based on Linear Matrix Inequality resolution technique (LMI). Those approaches are applied on the two common classes of bilinear systems (non-homogeneous and homogeneous) in both cases of single and multi input. An example of vehicle suspension is then considered to illustrate the effectiveness of the proposed approaches.

Keywords

bilinear systems; linear matrix inequalities; nonlinear control systems; pole assignment; polynomials; stability; state feedback; LMI; NLPP; bilinear systems; linear matrix inequality resolution technique; nonhomogeneous system; nonlinear pole placement technique; nonlinear state feedback control; polynomial feedback control; stabilization; Nonlinear systems; Polynomials; State feedback; Suspensions; Symmetric matrices; Vehicles;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems and Control (ICSC), 2015 4th International Conference on

Conference_Location

Sousse

Print_ISBN

978-1-4673-7108-7

Type

conf

DOI

10.1109/ICoSC.2015.7152778

Filename

7152778