H∞ control of nonlinear Fuzzy descriptor system via LMI

Author

Ayadi, Assil ; Trabelsi, Amine ; Chaabane, Mohamed ; Mehdi, Driss

Author_Institution

Lab. of Sci. & Tech. of Autom. Control & Comput. Eng. (Lab.-STA), Univ. of Sfax, Sfax, Tunisia

fYear

2013

fDate

21-23 March 2013

Firstpage

1

Lastpage

6

Abstract

This paper deals with the H_∞ control of nonlinear fuzzy descriptor system described by Takagi-Sugeno fuzzy models. In the first step, we present a stability analysis of nonlinear fuzzy descriptor system. The stability conditions are given in LMI form. In the second step, we have developed H_∞ PDC control law in order to reject the effects of external disturbances submitted to the system. Finally, a simulation example is presented to illustrate the mains results.

Keywords

H^∞ control; control system synthesis; fuzzy systems; linear matrix inequalities; nonlinear control systems; stability criteria; H_∞ PDC control law; LMI stability condition; Takagi-Sugeno fuzzy model; external disturbance effects; nonlinear fuzzy descriptor system; stability analysis; Mathematical model; Matrix decomposition; PD control; Stability analysis; Symmetric matrices; Vectors; Xenon; H∞ control; LMI approach; PDC control; fuzzy descriptor systems; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on

Conference_Location

Hammamet

Print_ISBN

978-1-4673-6302-0

Type

conf

DOI

10.1109/ICEESA.2013.6578364

Filename

6578364