T-S fuzzy model with nonlinear consequence and PDC controller for a class of nonlinear control systems

In this paper a new Takagi-Sugeno ( T-S) fuzzy model with nonlinear consequence ( TSFMNC) is presented which can approximate a class of smooth nonlinear systems, nonlinear dynamical systems and nonlinear control systems. It is also proved that Takagi-Sugeno fuzzy controller with nonlinear consequence ( TSFCNC) can be used to approximate a class of nonlinear state-feedback controllers using the so-called parallel distributed compensation ( PDC) method. The inverted pendulum problem has been simulated with TSFCNC and compared with Takagi-Sugeno fuzzy controller with linear consequence ( TSFCLC) and the results show that TSFCNC performs better than TSFCLC. A real-life example of dynamic positioning of ship is simulated and the results also show that TSFCNC performs better than TSFCLC. (c) 2006 Elsevier B. V. All rights reserved.