DocumentCode :
1586628
Title :
An LMI-based controller design of uncertain nonlinear systems using Takagi-Sugeno fuzzy region model
Author :
Bai, Shengjian ; Huang, Xinsheng ; Xu, Wanying ; Zhang, Lundong
Author_Institution :
Coll. of Mechatron. Eng. & Autom., Nat. Univ. of Defense Technol., Changsha, China
fYear :
2009
Firstpage :
1209
Lastpage :
1214
Abstract :
Robust control of a class of uncertain Takagi-Sugeno (T-S) fuzzy system is investigated in the paper by using fuzzy region concept. The general uncertain T-S fuzzy model with Standard Fuzzy Partition (SFP) inputs is converted into fuzzy region ones. A Fuzzy Region Controller (FRC) is designed based on the fuzzy region concept, and sub-models in a fuzzy region share the same FRC. The relaxed stability conditions for closed-loop fuzzy region systems are derived by using Piecewise Smooth Quadratic (PSQ) Lyapunov function in terms of Linear Matrix Inequalities (LMIs). The derived stability condition, which only requires finding a local common positive definite symmetric matrix P in each operating region, can reduce the conservatism and difficulty in existing stability conditions. Finally, the feasibility and validity of this approach are demonstrated by a numerical example.
Keywords :
Lyapunov methods; closed loop systems; control system synthesis; fuzzy control; linear matrix inequalities; nonlinear systems; robust control; LMI based controller design; Lyapunov function; closed loop fuzzy region systems; fuzzy region controller; linear matrix inequalities; nonlinear systems; piecewise smooth quadratic; robust control; standard fuzzy partition; Fuzzy control; Fuzzy systems; Linear matrix inequalities; Lyapunov method; Nonlinear control systems; Nonlinear systems; Robust control; Stability; Symmetric matrices; Takagi-Sugeno model;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Robotics and Biomimetics (ROBIO), 2009 IEEE International Conference on
Conference_Location :
Guilin
Print_ISBN :
978-1-4244-4774-9
Electronic_ISBN :
978-1-4244-4775-6
Type :
conf
DOI :
10.1109/ROBIO.2009.5420849
Filename :
5420849
Link To Document :
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