Stability of fuzzy control systems based on a new partition of input space
输入空间新划分下模糊控制系统的稳定性

For fuzzy control systems, there is no effective way to determine stability conditions less conservative than the usual ones by fully utilizing the fuzzy rules structure information. We develop the stability conditions and the design method for the fuzzy control system by dividing its input space in a new way. The properties of the fuzzy rule base are derived from the division of the input space. A less conservative stability condition is obtained by constructing a piecewise differentiable quadratic Lyapunov function. This condition is transformed into the form of linear matrix inequalities for designing the fuzzy controller. Simulation examples are given to show the effectiveness of the proposed method.