T-S fuzzy model with linear rule consequence and PDC controller: a universal framework for nonlinear control systems
Hua O. Wang, Jincheng Li, D. Niemann, Kazuo A. TANAKA · 2002
We present two results concerning the fuzzy modeling and control of nonlinear systems. The first result is on the approximation of smooth nonlinear dynamical systems using linear Takagi-Sugeno (T-S) fuzzy models. The second result is on the approximation of smooth nonlinear state-feedback controllers using the so-called parallel distributed compensation (PDC) controller. Both results are based on the effectiveness of using linear Takagi-Sugeno systems to approximate nonlinear function, which is also proved in this paper.