The theoretical mechanism of grey GM(1,1) model for coupled systems

The GM(1,1) gray forecasting model is a type of short-term forecasting technique that has been successfully applied to management and engineering problems with only four dates. However, when a new system is built, the system is uncertain and variable, so the data collected is usually not clear, which cannot be used to predict the GM(1,1) gray model. To solve this problem, the fuzzy system derived from the collected fuzzy gray control parameter data is considered as derivation of GM(1,1) fuzzy gray model to obtain the projection values under the fuzzy system to be predicted. The method isn't restricted to either the TS fuzzy or Mamdani type. The proposed solution based on stability guarantee is a local one. Finally, an example will be described for clarification. A single controller can compensate for the effects of noise and harmonic noise at many performance points. And the dynamic performance of a single controller is satisfactory during the transient. for fairness Numerical and computer experiments are described in the perfection of the methods we offer in research.