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-The paper proposes a new adaptive VS LMS algorithm, obtained by combining LMS algorithms with different step sizes without calculating their weighting coefficients. As a criterion for choosing the VS LMS algorithm step size, we take the ratio between the weighting coefficients' bias and variance. Identification of an unknown system in nonstationary noisy environment is performed and simulations with the proposed and other VS LMS algorithms are presented. Simulation results confirm the favorable properties of the proposed algorithm in nonstationary environment with abrupt changes of unknown system parameters.