Controlling the position of magnetic particles with magnetic traps for single molecule manipulation is difficult due to the complexity of the instrument. Currently, users are spending an immense amount of time designing compensators to satisfy their experimental conditions, yielding them minimal time to concentrate on their experiment. This paper discusses using adaptive Q-parametrized compensator methods to control the position of the particle. Incorporating adaptive control methods into the magnetic trap design can eliminate this issue by adjusting the controller parameters to ensure the performance of the instrument meets specific requirements. The adaptive Q-parametrized compensator structure has been incorporated into the design of the magnetic trap, resulting in the displacement of the particle being stabilized and the effects of the Brownian disturbances being reduced as the number of filter weight coefficients are increased.

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