In this paper robust stability and performance conditions for the classical unity-feedback control system and for a more general feedback configuration are proposed. Uncertainty is represented in the linear fractional form, where perturbations are assumed to be norm-bounded, stable and unstructured. Suitable Hinf control problems are derived for satisfying both the proposed sufficient conditions. In addition, it is shown that the first condition puts in a unified framework some conditions existing in the literature and referring to specific kinds of perturbations, such as the additive and the multiplicative ones. Lastly, a property of the family of perturbed systems whose robust stabilization is guaranteed by the first condition is derived.

Caminiti, L., GRASSELLI O., M., & Paoletti, S. (2002). Sufficient conditions for robust stability and performance. In Proc. of 10th Mediterranean Conference on Control and Automation.

Sufficient conditions for robust stability and performance

PAOLETTI, SIMONE
2002

Abstract

In this paper robust stability and performance conditions for the classical unity-feedback control system and for a more general feedback configuration are proposed. Uncertainty is represented in the linear fractional form, where perturbations are assumed to be norm-bounded, stable and unstructured. Suitable Hinf control problems are derived for satisfying both the proposed sufficient conditions. In addition, it is shown that the first condition puts in a unified framework some conditions existing in the literature and referring to specific kinds of perturbations, such as the additive and the multiplicative ones. Lastly, a property of the family of perturbed systems whose robust stabilization is guaranteed by the first condition is derived.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11365/45646
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