Title :
Stability and stabilization conditions for continuous-time Takagi-Sugeno fuzzy systems
Author :
Jun Chen ; Fangjun Kuang
Author_Institution :
Sch. of Autom., Nanjing Univ. of Sci. & Technol., Nanjing, China
Abstract :
This paper deals with stability and stabilization conditions for continuous-time Takagi-Sugeno fuzzy systems. Firstly, some of previous important stabilization conditions are summarized by a theorem in terms of the common Lyapunov functions and PDC control laws. Secondly, the fuzzy Lyapunov functions and non-PDC control laws are further employed to discuss stability and stabilization conditions and then less conservative conditions are produced via linear matrix inequalities. Finally, examples illustrate the effectiveness and merits of the proposed methods.
Keywords :
Lyapunov methods; continuous time systems; fuzzy systems; linear matrix inequalities; stability; continuous time Takagi-Sugeno fuzzy system; fuzzy Lyapunov functions; linear matrix inequalities; non-PDC control law; stability; stabilization conditions; Fuzzy control; Lyapunov methods; PD control; Stability analysis; Symmetric matrices; Takagi-Sugeno model; Takagi-Sugeno fuzzy systems; fuzzy Lyapunov functions (FLFs); linear matrix inequalities (LMIs); stabilization;
Conference_Titel :
Control Conference (CCC), 2014 33rd Chinese
Conference_Location :
Nanjing
DOI :
10.1109/ChiCC.2014.6895692
