The stability analysis and simulation of linear systems via LMI

Author

Yu, Zhenhong ; Liu, Jiaoyu ; Wang, Xiangli

Author_Institution

Sch. of Autom., Wuhan Univ. of Technol., Wuhan, China

fYear

2012

fDate

24-27 June 2012

Firstpage

532

Lastpage

535

Abstract

By inequality analysis, this paper deals with the stability of linear system. First of all, by constructing suitable Lyapunov functionals, a new simple sufficient condition is presented for the linear system based on LMI. Next, the sufficient condition of the state feedback system will be given, and the problem of determining the maximum time-delay under which the system will remain stable is cast into a generalized eigenvalue problem solved by LMI toolbox in MATLAB. Finally, two illustrative examples are given to demonstrate the effectiveness and convenience of the proposed method.

Keywords

Lyapunov methods; delays; eigenvalues and eigenfunctions; functional equations; linear matrix inequalities; linear systems; stability; state feedback; LMI toolbox; Lyapunov functionals; MATLAB; generalized eigenvalue problem; inequality analysis; linear matrix inequalities; linear system simulation; linear system stability analysis; maximum time-delay determination; state feedback system; sufficient condition; MATLAB; LMI; MATLAB simulation; linear systems; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical & Electronics Engineering (EEESYM), 2012 IEEE Symposium on

Conference_Location

Kuala Lumpur

Print_ISBN

978-1-4673-2363-5

Type

conf

DOI

10.1109/EEESym.2012.6258711

Filename

6258711