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The strictly positive real and small gain properties are two of the most important properties in control field. However, in the real world, many practical plants fail to satisfy these properties. In this paper, we propose a new class of systems named “Overlapping Mixed Frequency Property” which is closely related to the mixed small gain and positive real property. A matrix equation related to this...
In this paper, we deal with the output feedback disturbance rejection problem of the Duffingpsilas system with all the parameters unknown. By treating the unknown sinusoidal external disturbance as a signal produced by an unknown exosystem, we can first formulate the problem as a global robust output regulation problem subject to an unknown exosystem. Then we apply the adaptive output regulation technique...
The global robust output regulation problem for output feedback systems with unknown exosystems was studied some years ago using the adaptive control technique. However, a critical issue concerning the convergence of an estimated parameter vector to the true parameter vector has not been addressed. In this paper, we will address this issue and show that the estimated parameter vector converges to...
The global robust output regulation problem for nonlinear systems in output feedback form has been solved under a key assumption that the control direction is known. This paper shows that this assumption can be removed by incorporating the Nussbaum gain technique into the existing framework for handling the robust output regulation problem
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