On the computation of the optimal H∞ norms for two feedback control problems

Wen-Wei Lin; Chern Shuh Wang; Quan Fu Xu

doi:10.1016/S0024-3795(98)10202-1

On the computation of the optimal H_∞ norms for two feedback control problems

Wen-Wei Lin^*, Chern Shuh Wang, Quan Fu Xu

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

Numerical computation of the optimal H_∞ norms for the state feedback and the output feedback control problems is considered. In 1989, Doyle et al. derived, for a given parameter r > 0, necessary and sufficient conditions under which an admissible output feedback controller exists, as well as conditions for the existence of a state feedback controller. We explore numerical methods to find the infimum of parameter r that satisfies those conditions.

Original language	English
Pages (from-to)	223-255
Number of pages	33
Journal	Linear Algebra and Its Applications
Volume	287
Issue number	1-3
DOIs	https://doi.org/10.1016/S0024-3795(98)10202-1
State	Published - 15 Jan 1999

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abstract = "Numerical computation of the optimal H∞ norms for the state feedback and the output feedback control problems is considered. In 1989, Doyle et al. derived, for a given parameter r > 0, necessary and sufficient conditions under which an admissible output feedback controller exists, as well as conditions for the existence of a state feedback controller. We explore numerical methods to find the infimum of parameter r that satisfies those conditions.",

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