A new approach for stability analysis of fuzzy control systems

This paper presents new sufficient conditions to verify the stability of fuzzy control systems. Compared to the existing conditions, these new approaches contribute the following advantages: (1) only the individual active zone of each control rule or independent sub-spaces are considered respectively instead of the whole input space taken into account in Tanaka and Sugeno method, which thus simplifies the condition to verify stability; (2) the new conditions are applicable to a broader range of fuzzy control systems such as type-I ones and type-II ones with nonlinear-consequent parts, which can not be handled with Tanaka and Sugeno´s method. Some examples are used to demonstrate these properties.