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In this paper, a new self-tuning pole-assignment control scheme is proposed for stochastic systems with unknown deterministic disturbances, whose control law is derived based on minimizing a quadratic cost function. Furthermore, some user-specified polynomials are designed based on the pole-assignment scheme. This scheme has internal models corresponding to deterministic disturbances, and the internal models are adjusted in an on-line manner. The effectiveness of the newly proposed control scheme is evaluated on a simulation example.