Properties and Stability Analysis of Fuzzy Control Systems Employing Standard Fuzzy Partition Inputs
Zhihong Xiu, Yunjie Zhang · Mohu xitong yu shuxue · 2004
The standard fuzzy partition of input variables of fuzzy control systems is well defined. (Based) on analysis of the properties of fuzzy control systems employing standard fuzzy partition inputs, the stability of this type systems is studied in detail by Lyapunov direct method, and a sufficient (condition) to check the stability of a fuzzy control system is proposed. This condition only requires (finding) a common positive-definite matrix in each max overlapped-rules group. It can greatly reduce the conservatism and difficulty of the former stability analysis approaches, which require finding a (common) positive-definite matrix in all the local linear models.