The invention provides a temperature distribution inversion method based on a multi-vertex grid and a high-robustness error functional, and the method comprises the steps: 1, obtaining a
temperature gradient change rule of a measured structure under a typical
thermal load condition, and determining a three-dimensional multi-vertex grid division scheme and a temperature sensor
layout form of the measured structure; step 2, establishing an m vertex grid
basis function model, and constructing a conversion matrix between a
regular grid and an irregular grid; 3, establishing a high-robustness error functional between the theoretical temperature of the
centroid position of each surface of the m-vertex grid and the actually measured temperature of the sensor; 4, a temperature matrix equation containing a
temperature coefficient matrix and a temperature amplitude matrix is constructed, temperature vectors of all grid vertexes are solved, the m-vertex grid
basis function model is combined, three-dimensional temperature distribution in the structure space is inverted, and according to the method, only few sensors need to be adopted, the
global temperature response of the structure can be obtained, and the inversion precision is high; the method is simple, convenient and high in real-time performance.