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Internal model principle‐based control of exponentially damped sinusoids

An internal model principle‐based adaptive algorithm for identifying and canceling disturbances composed of sums of exponentially damped sinusoidal (EDS) signals is presented. The state variables of an internal model principle controller in a feedback loop can provide estimates of the EDS signal parameters, the frequency and the damping factor. By using additional integral controllers, the parameter errors can be eliminated to achieve perfect cancelation. The convergence of the proposed adaptive algorithm and the stability of the feedback control system adopting the algorithm are justified using singular perturbation theory and averaging theory. Simulation results demonstrate the performance of the algorithm. Copyright © 2009 John Wiley & Sons, Ltd.