Stabilization Control for a Class of Nonlinear Systems with Uncertain Nonlinearity

Author

Ning, Li ; Chunzhi, Yang ; Heng, Liu

Author_Institution

Sch. of Math. & Comput. Sci., Huainan Normal Univ., Huainan, China

fYear

2012

fDate

11-13 Aug. 2012

Firstpage

206

Lastpage

209

Abstract

This paper investigates the robust stabilization problem for a class of chaotic systems with uncertain nonlinearity. The nonlinear function matrix is decomposed into a non-singular function matrix and a function matrix. nonlinear function vector observer (NFVO) approximates the uncertain nonlinearity. By using NFVO, optimization principle and linear matrix inequality (LMI) approach, the states of nonlinear system can realize stable quickly. Finally, simulations are presented to illustrate the effectiveness of the proposed method.

Keywords

control nonlinearities; linear matrix inequalities; nonlinear systems; observers; optimisation; robust control; uncertain systems; LMI approach; NFVO; chaotic systems; function matrix; linear matrix inequality approach; nonlinear function matrix; nonlinear function vector observer; nonlinear systems; nonsingular function matrix; optimization principle; robust stabilization problem; stabilization control; uncertain nonlinearity; Adaptive control; Educational institutions; Linear matrix inequalities; Matrix decomposition; Nonlinear systems; Observers; Vectors; Linear matrix inequality; Nonlinear function vector; Nonlinear systems;

fLanguage

English

Publisher

ieee

Conference_Titel

Computer Science & Service System (CSSS), 2012 International Conference on

Conference_Location

Nanjing

Print_ISBN

978-1-4673-0721-5

Type

conf

DOI

10.1109/CSSS.2012.59

Filename

6394298