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The aim of this investigation is to construct an adaptive observer and an adaptive compensator for a class of infinite-dimensional plants having a known exogenous input and a structured perturbation with an unknown constant parameter, such as the case of static output feedback with an unknown gain. The adaptive observer uses the nominal dynamics of the unperturbed plant and an adaptation law based on the Lyapunov redesign method. We obtain conditions on the system to ensure uniform boundedness of...
We derive absolute stability results for well-posed infinite-dimensional
systems which, in a sense, extend the well-known circle criterion
to the case that the underlying linear system is the series
interconnection of an exponentially stable well-posed
infinite-dimensional system
and an integrator and the nonlinearity
satisfies a sector condition of the form () ≤ 0 for some constant . These results are used to prove
convergence and stability properties of low-gain integral feedback control
applied...
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