Title :
A new approach for stabilizing nonlinear systems with time delay
Author :
Donghai Lin ; Meng Joo Er
Author_Institution :
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ., Singapore, Singapore
Abstract :
A new Proportional Parallel Distributed Compensation (PPDC) approach is utilized to stabilize time-delay systems on the basis of Takagi-Sugeno fuzzy model in this paper. We present new stability conditions for a class of time-delay systems whose dynamics are described by a T-S fuzzy model. The entire PPDC design procedure employing Linear Matrix Inequalities (LMI) is presented. A numerical example is given to illustrate salient features of the new approach.
Keywords :
compensation; control system synthesis; delay systems; fuzzy control; fuzzy set theory; linear matrix inequalities; nonlinear control systems; proportional control; stability; LMI; PPDC design; T-S fuzzy model; Takagi-Sugeno fuzzy model; linear matrix inequalities; nonlinear system; proportional parallel distributed compensation; salient feature; stability condition; time delay system; Asymptotic stability; Delay effects; Equations; Fuzzy systems; Mathematical model; Numerical stability; Stability analysis; PPDC; Stability; Takagi-Sugeno Fuzzy Model; Time-delay system;
Conference_Titel :
Control Conference (ECC), 2001 European
Conference_Location :
Porto
Print_ISBN :
978-3-9524173-6-2