Adaptive compensation of multiple sinusoidal disturbances with unknown frequencies
It is addressed the problem of designing an output feedback compensator which drives to zero the state of a system affected by two additive noisy biased sinusoidal disturbances with unknown bias, magnitudes, phases and frequencies. The problem is solved for a linear, asymptotically stable, observable system of order n with known parameters by a [3n + 15] -order compensator. The regulating scheme contains exponentially convergent estimates of the biased sinusoidal disturbances and of its parameters, including frequencies. The algorithm is generalized to the case of an arbitrary number m of sinusoidal disturbances, with unknown parameters, yielding a [n(m + 1) + 2m 2 + 3m + 1]-order compensator.
KeywordsAdaptive Observer Sinusoidal Disturbance Unknown Frequency Adaptive Compensation Disturbance Compensation
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