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This paper introduces a frequency-weighting method for adaptive disturbance rejection. The method constrains the high-frequency gain of the prediction filter in a minimum-variance adaptive controller. In an experimental application, the method is used to control a microelectromechanical system fast steering mirror to suppress laser beam jitter. The paper analyzes the effect of sensor noise on the...
This paper characterizes the optimal steady-state filter with finite impulse response of given length for minimum-variance control in a class of adaptive disturbance-rejection problems. It is shown that the problem of finding the optimal filter is equivalent to a linear-quadratic regulator problem on a finite interval of length equal to the order of the filter in the steady-state disturbance-rejection...
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