Adaptive rejection of multi-periodic disturbances for a class of linear systems

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Abstract
This paper deals with adaptive rejection of general multi-periodic disturbances for a class of linear systems via output feedback. The multi-periodic disturbance is a superposition of several general periodic disturbances. Assume that all periods of the multi-periodic disturbance are known. A method of estimating the multi-periodic disturbance and its derivatives is presented, which can ensure these estimate errors converge to zero. Based on these estimation methods, we present a new adaptive control method for disturbance rejection, which guarantees that in the closed-loop system, all the signals are bounded and the output converges to zero. A simulation example is presented to verify the effectiveness of the control scheme.

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