According to the latest biological research of DNA, the virus in the same DNA base sequence can encode two or three different polypeptide chains. Further analysis and imitation of overlapping genes and password mechanism are inspired by using the above mechanism, and a new overlapping gene encoding framework is found, thereby improving the efficiency of problem solving. A frame shift interpretation framework based on this mechanism of DNA genetic algorithm(SDNA-GA)computing model is applied to a class of the generalized membership type T-S fuzzy neural network controller(GTS-FNNC) optimization design to achieve GTS-FNNC online learning.