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

Authors:
R. Rajesh;M. R. Kaimal
Affiliations:
Department of Computer Science, University of Kerala, Kariavattom Campus, University of Kerala, Thiruvananthapuram-695581, India;Department of Computer Science, University of Kerala, Kariavattom Campus, University of Kerala, Thiruvananthapuram-695581, India
Venue:
Applied Soft Computing
Year:
2007

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Abstract

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.