Robust Stability for Nonlinear Discrete-time Systems with Interval Time-varying Delay

Author

Zhang, Wei ; Su, Housheng ; Han, Zhengzhi

Author_Institution

Eng. Training Center, Shanghai Univ. of Eng. Sci., Shanghai, China

Volume

3

fYear

2011

fDate

6-7 Jan. 2011

Firstpage

191

Lastpage

194

Abstract

This paper considers the robust stability of linear discrete-time systems with nonlinear perturbations and interval time-varying delay in the state. By using a finite sum inequality approach, new delay-range-dependent stability criteria are developed in terms of linear matrix inequalities (LMIs). It is shown that the proposed criteria can provide less conservative results than some existing ones. A numerical example is included to demonstrate the effectiveness of the proposed approach.

Keywords

delays; discrete time systems; linear matrix inequalities; linear systems; nonlinear control systems; perturbation techniques; robust control; stability criteria; time-varying systems; LMI; delay-range-dependent stability criteria; finite sum inequality approach; interval time-varying delay; linear matrix inequality; nonlinear discrete-time systems; nonlinear perturbations; robust stability; Delay; Linear matrix inequalities; Numerical stability; Robust stability; Stability criteria; Time varying systems; Delay-range-dependent stability; discrete-time systems; finite sum inequality; time-varying delay;

fLanguage

English

Publisher

ieee

Conference_Titel

Measuring Technology and Mechatronics Automation (ICMTMA), 2011 Third International Conference on

Conference_Location

Shangshai

Print_ISBN

978-1-4244-9010-3

Type

conf

DOI

10.1109/ICMTMA.2011.618

Filename

5721455