Title :
Robust and non-fragile fuzzy H∞ controller design for discrete-time systems with parameter uncertainties and time delay
Author :
Lee, J.W. ; Lee, H.H. ; Kim, J.K. ; Park, H.B.
Author_Institution :
Grad. Sch. of Electr. Eng. & Comput. Sci., Kyungpook Nat. Univ., Daegu, South Korea
Abstract :
In this paper, we show a controller design method for a class of discrete-time nonlinear systems described in T-S(Takagi-Sugeno) fuzzy model, which has uncertainties in state and input. The robust and non-fragile fuzzy Hinfin controller is designed based on Lyapunov function theory, PDC(parallel distributed compensation) and PLMI (parameterized linear matrix inequality) method. Those ensure the asymptotically stability and the performance of the resulting closed-loop systems for uncertainties. The numerical example and simulation are presented to show the feasibility and effectiveness of the proposed method.
Keywords :
Hinfin control; Lyapunov methods; asymptotic stability; compensation; control system synthesis; delays; discrete time systems; fuzzy control; linear matrix inequalities; robust control; uncertain systems; Lyapunov function theory; asymptotically stability; closed-loop systems; discrete-time systems; nonfragile fuzzy Hinfin controller design; parallel distributed compensation; parameter uncertainties; parameterized linear matrix inequality method; time delay; Design methodology; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Robustness; Uncertainty;
Conference_Titel :
Information and Automation, 2009. ICIA '09. International Conference on
Conference_Location :
Zhuhai, Macau
Print_ISBN :
978-1-4244-3607-1
Electronic_ISBN :
978-1-4244-3608-8
DOI :
10.1109/ICINFA.2009.5205016