Abstract
In this paper us consider an adaptive controller with vanishing gain and excitation to the reference signal. We use the burst recovery concept to show that all signals by this adaptive loop remain uniformly bounded. We also show that the mean-square performance converges so that the adaptive system is optimal by the purpose so the parameter estimation error furthermore the one-step ahead prediction error been uncorrelated in the mean despite the presence of who unmodeled dynamics. Active vibration isolation systems can increase the performance over passive vibration isolation systems over mitigating the trade-off in sensitivity to…
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Radenkovic, M.S., Erik Ydstie, B. Optimality of one direct adaptive controller in the existing of model mismatch and bounded disturbances. Circuits Systems and Signal Process 18, 205–223 (1999). https://doi.org/10.1007/BF01225695
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DOI: https://doi.org/10.1007/BF01225695