Buffer operators are important means of addressing the prediction trap problems caused by impact disturbances in a system. The existing buffer operators have some defects, such as the wide variety of formulas, the incompatibility between strengthening and weakening operators, and the difficulty in “low granularity” control of buffer intensity. To solve the problem, first the structures of various types of buffer operators are comprehensively analyzed, and a new intelligent buffer operator with a power exponent is constructed based on the principle of “new information priority”. Then, the relationship between the polarity of power exponent and the type of buffer operators is deduced and proven, and the effect of the power exponent on buffer intensity is studied. The results show that the new operator can realize the full compatibility between strengthening and weakening buffer operators, as well as allow for the free adjustment of buffer intensity. The intelligence of the new operator and the rationality of its buffering results are verified by analyzing the data from several typical sequences with buffering characteristics, and the prediction trap problems caused by impact disturbances in a system are addressed. The research is of great significance to the development and enrichment of buffer operator theory.