Fuzzy reasoning mathematics model and stability analysis of nonlinear control system

In recent years, good results have been achieved by using the designation idea of fuzzy control systems to deal with nonlinear control objects, but the designation of the fuzzy control system faces the problems of fuzzy control rules and the system stability analysis. This paper proposes to use the fuzzy mathematical model based on fuzzy reasoning to analyze the stability, applying genetic algorithms (GA) to adjust the fuzzy control rules, simulating the method of classical control theory which uses a mathematical model of the control objects to analyze the stability. Its efficiency is shown by the example in the paper.