Lyapunov's Indirect Method for Stability Analysis of Fuzzy Control System
Wenlin Xu · Journal of Hunan University · 2004
The key to some conjectural rules for fuzzy control system stability,such as state space approach, input-output stability, the circle criterion and the conicity criterion, is how to deal with the characteristics of fuzzy controller in the mathematical way. So far, there has been no suitable method for 2-D fuzzy controller characteristics. This paper analyzes the 2-D fuzzy controller characteristics, proposes a general approximate function suitable for 1-D and 2-D fuzzy controller, and uses Lyapunov's indirect method to analyze the stability of fuzzy control systems.