Stability analysis and control of Lur´e singularly perturbed uncertain systems

Author

Yan Zhang ; Naidu, D. Subbaram ; Chenxiao Cai

Author_Institution

Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China

fYear

2014

fDate

28-30 July 2014

Firstpage

6090

Lastpage

6094

Abstract

In this paper, the absolute stability and feedback control problems of Lur´e singularly perturbed uncertain systems are investigated. An ε-dependent Lyapunov function is constructed. Using the Lyapunov theory and Linear Matrix Inequalities (LMIs) technique, the conditions of absolute stability of the system without disturbances are derived. Then, a method of designing feedback controller is developed which can guarantee the absolute stability of the Lur´e singularly perturbed uncertain systems. A numerical example is given to show the effectiveness of the criteria.

Keywords

Lyapunov methods; control system synthesis; feedback; linear matrix inequalities; singularly perturbed systems; stability; uncertain systems; ε-dependent Lyapunov function; LMI technique; Lur´e singularly perturbed uncertain control systems; Lyapunov theory; absolute stability condition; feedback control problems; feedback controller design; linear matrix inequalities; stability analysis; Asymptotic stability; Circuit stability; Linear matrix inequalities; Numerical stability; Robustness; Stability criteria; Absolutely stability; Feedback; Linear matrix ineuqality; Lur´e system; Lyapunov theory; Singular perturbations; control;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (CCC), 2014 33rd Chinese

Conference_Location

Nanjing

Type

conf

DOI

10.1109/ChiCC.2014.6895985

Filename

6895985