Abstract
An adaptive observer for an infinite dimensional plant with a structured perturbation is developed to estimate the state of the plant. The class under consideration includes a collocated (passive) feedback with uncertain feedback gain. This observer is based on the nominal part of the plant and the adaptation law for estimating the uncertain gain. The proposed adaptation law developed is based on the Lyapunov stability method. It is proved that the resulting estimator dynamics are stable in the sense that the tracking error converges to zero and the parameter estimate is bounded.
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