Performance bounds in ℋ optimal control for stable SISO plants with arbitrary relative degree

Andrés A. Peters, Mario E. Salgado

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

5 Citas (Scopus)

Resumen

This note deals with performance bounds for the ℋ -optimal control of discrete-time LTI plants. The case studied corresponds to stable scalar plants with arbitrary relative degree but no finite non-minimum phase zero. By using Nehari's Theorem and a reformulation of the standard Youla Parameterization a closed-form expression for the characteristic polynomial of the associated eigenvalue problem is obtained. Also, we derive an analytic expression for the optimal ℋ cost as a function of the plant relative degree.

Idioma originalInglés
Páginas (desde-hasta)1987-1990
Número de páginas4
PublicaciónIEEE Transactions on Automatic Control
Volumen54
N.º8
DOI
EstadoPublicada - 2009

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