A conventional absolute encoder consists of multiple tracks and therefore has a large size. Based on the theory of shared control, a new kind of absolute encoder called the shared track Gray encoder is proposed. This encoder has only one track, and the code has the characteristics of Gray code. In this paper, first the working principle of the encoder is introduced and the existence condition of the codes for the shared track Gray encoder is derived. Then the search procedure for the codes using self-developed assembler programs is given. Finally, the pattern of the encoder is presented. Since the shared track Gray encoder has only one track and the code is progressive, it is much smaller in size and higher in accuracy than a conventional one. [S0022-0434(00)01503-3]

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