An Algebraic Formula for Performance Bounds of a Weighted H∞ Optimal Control Problem

Andres A. Peters, Francisco J. Vargas, Jie Chen

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)


This article provides performance bounds for a particular \mathcal {H}-\infty model-matching problem. We consider scalar linear time-invariant plants in a one-degree-of-freedom control loop. We obtained explicit expressions for the Gramians needed when Nehari's theorem is applied to this problem, leading to a simple algebraic equation for the optimal performance. This formula sheds light upon the effect that nonminimum-phase zeros have on the optimal performance and yields easily computable bounds and approximations.

Idioma originalInglés
Número de artículo9042269
Páginas (desde-hasta)781-786
Número de páginas6
PublicaciónIEEE Transactions on Automatic Control
EstadoPublicada - feb. 2021

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