T‐S Fuzzy Model as Universal Approximator
Kazuo A. TANAKA, Hua O. Wang · 2001
In this chapter, the authors present two results concerning the fuzzy modeling and control of nonlinear systems. First, they prove that any smooth nonlinear control systems can be approximated by Takagi-Sugeno fuzzy models with linear rule consequence. Then, they prove that any smooth nonlinear state feedback controller can be approximated by the parallel distributed compensation (PDC) controller.