A new approach to numerical stability analysis of fuzzy control systems

The paper presents numerical methodology for the stability analysis of a fuzzy control system. The fuzzy control system analyzed is a closed-loop system controlled by a fuzzy logic controller (FLC) with singleton consequents. Compared with previous works based on numerical approaches (E. Kim et al., 1999), the method proposed in the paper employs two new strategies to release the conservatism of the previous methods: region-wise affine transformation and piecewise quadratic Lyapunov function. Finally, the effectiveness of the stability analysis is illustrated by a numerical example and its computer simulation.