An Efficient Lyapunov Function for Discrete T–S Models: Observer Design

Fuzzy control turns 50: 10 years later

“…This allows replacing the standard one-step variation by an α-sample variationṼ (x(t + α)) −Ṽ (x(t)) < 0 and still have a sufficient condition to prove stability [61], see details in [62]; conservatism reduces as α increases. The idea was extended to general Lyapunov functions and control/observer structures in [63,64,65].…”

Tensor Product Model Transformation Simplification of Takagi-Sugeno Control and Estimation Laws – An Application to a Thermoelectric Controlled Chamber

“…In addition, given the fact that they are capable of representing nonlinear systems by a convex combination of linear models, many control, estimation and analysis problems can be recast as Linear Matrix Inequality (LMI) problems [2][3][4][5][6].…”

Vehicle Fault Tolerant Control Using a Robust Output Fuzzy Controller Design

“…In this paper, a fuzzy controller is designed by considering the lateral velocity estimated using a nonlinear observer. In the analysis and design, the vehicle lateral will be represented by a switching systems (Chadli and Darouach, 2011) or by a Takagi-Sugeno (T-S) fuzzy model (Takagi and Sugeno, 1985), largely used these last years (Xioodong and Qingling, 2003;Chadli, Maquin and Ragot, 2005;Kirakidis, 2001;Tanaka and Wang, 1998;Chadli and El Hajjaji, 2006;Guerra and al, 2011;Chadli and Guerra, 2012). It is usually referred to as the bicycle model.…”