Guaranteed cost control for discrete T-S fuzzy neutral systems with uncertain delays

Author

Song, Min Kook ; Park, Jin Bae ; Joo, Young Roon

Author_Institution

Dept. of Electr. Eng., Yonsei Univ., Seoul

fYear

2008

Firstpage

1415

Lastpage

1418

Abstract

This paper introduces a guaranteed cost control method for nonlinear discrete systems which can be represented by Takagi-Sugeno (T-S) fuzzy models. The analysis is based on the use of Lyapunov-Krasovskii functional (LKF) stability theory. A linear quadratic cost function is considered as a performance index of the closed-loop nonlinear system. Delay-dependent stabilization criteria are proposed to guarantee stability for the fuzzy neutral systems. The linear matrix inequalities (LMIs) approach is used to design the feedback control. A numerical example is given to illustrate the use of our main results.

Keywords

Lyapunov methods; closed loop systems; cost optimal control; delays; discrete time systems; fuzzy systems; linear matrix inequalities; linear quadratic control; nonlinear control systems; stability criteria; uncertain systems; Lyapunov-Krasovskii functional stability theory; Takagi-Sugeno fuzzy models; closed-loop nonlinear system; delay-dependent stabilization criteria; discrete T-S fuzzy neutral systems; guaranteed cost control method; linear matrix inequalities; linear quadratic cost function; nonlinear discrete systems; uncertain delays; Control systems; Cost function; Delay systems; Fuzzy control; Fuzzy systems; Nonlinear control systems; Nonlinear systems; Performance analysis; Stability analysis; Takagi-Sugeno model; Time-delay system; linear matrix inequality (LMI); neutral system;

fLanguage

English

Publisher

ieee

Conference_Titel

Control, Automation and Systems, 2008. ICCAS 2008. International Conference on

Conference_Location

Seoul

Print_ISBN

978-89-950038-9-3

Electronic_ISBN

978-89-93215-01-4

Type

conf

DOI

10.1109/ICCAS.2008.4694364

Filename

4694364