Abstract: In order to solve the problem of implicit expression of system matrix in the state space model which describes the transfer of product dimensional deviation, and existence of nonlinear factors in traditional multi-station manufacturing systems, part model consists of surface orientation vector, position orientation vector, size vector and its variation model are given on the basis of definitions of part, fixture and machine coordinate systems; by using homogeneous transformation method and matrix theory, mutual transformation between three coordinate systems and linear state space model with explicit system matrix are derived. The relationship built between dimensional deviation and its corresponding deviation source enhances the usability of traditional state space model, and the effectiveness of the model is verified by a case study.

Key words: Dimensional variation, Explicit system matrix, Linear state space model, Multi-station manufacturing system