Title :
LMI-based H∞ state-feedback control for T-S time-delay discrete fuzzy bilinear system
Author :
Tsai, Shun-Hung ; Hsiao, Ming-Ying ; Li, Tzuu-Hseng S. ; Shih, Kai Shiuan ; Chao, ChanHong ; Liu, Chi-Hua
Author_Institution :
Grad. Inst. of Autom. Technol., Nat. Taipei Univ. of Technol., Taipei, Taiwan
Abstract :
This paper presents a robust H∞ fuzzy controller for a class of T-S time-delay discrete fuzzy bilinear system (DFBS). Firstly, a discrete robust H∞ fuzzy controller is proposed to stabilize the T-S time-delay DFBS with disturbance. Secondly, based on the Schur complement and some variable transformation, the stability conditions of the overall fuzzy control system are formulated by linear matrix inequalities (LMIs). Finally, a numerical example is utilized to demonstrate the validity and effectiveness of the proposed control scheme.
Keywords :
H∞ control; bilinear systems; delays; discrete systems; fuzzy control; linear matrix inequalities; robust control; state feedback; DFBS; LMI-based H∞ state-feedback control; Schur complement; T-S time-delay discrete fuzzy bilinear system; discrete robust H∞ fuzzy controller; linear matrix inequality; stability condition; variable transformation; Discrete fuzzy bilinear system (DFBS); linear matrix inequalities (LMIs); robust control;
Conference_Titel :
Systems, Man and Cybernetics, 2009. SMC 2009. IEEE International Conference on
Conference_Location :
San Antonio, TX
Print_ISBN :
978-1-4244-2793-2
Electronic_ISBN :
1062-922X
DOI :
10.1109/ICSMC.2009.5346021
