Title :
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
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;
Conference_Titel :
Electrical Engineering and Software Applications (ICEESA), 2013 International Conference on
Conference_Location :
Hammamet
Print_ISBN :
978-1-4673-6302-0
DOI :
10.1109/ICEESA.2013.6578364
