Optimal H∞$$ {\mathcal{H}}_{\infty } $$ Problem and Application to Controlled Asymptotic Filtering

ABSTRACT The optimal variant of one‐sided ‐problem is elaborated, and an LMI‐based algorithm is presented, which works in the generic case. An application in controlled asymptotic filtering is presented, in which the matrices of the ‐problem are affine functions of controller coefficients. These two results are illustrated with examples.

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Publication Details

Journal
International Journal of Robust and Nonlinear Control
Published
2025-02-10
DOI
https://doi.org/10.1002/rnc.7835
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
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0.00
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article

Optimal H∞$$ {\mathcal{H}}_{\infty } $$ Problem and Application to Controlled Asymptotic Filtering

Jovan Stefanovski
International Journal of Robust and Nonlinear Control
Mathematical Analysis and Transform Methods
article

Optimal H∞$$ {\mathcal{H}}_{\infty } $$ Problem and Application to Controlled Asymptotic Filtering

Jovan Stefanovski
article en

Abstract

ABSTRACT The optimal variant of one‐sided ‐problem is elaborated, and an LMI‐based algorithm is presented, which works in the generic case. An application in controlled asymptotic filtering is presented, in which the matrices of the ‐problem are affine functions of controller coefficients. These two results are illustrated with examples.

International Journal of Robust and Nonlinear ControlVol. 35(8)
University "St. Kliment Ohridski" - Bitola (MK)
Openalex Percentile: Top 96%
Mathematical Analysis and Transform Methods
DOISourceOpenAlex
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Optimal H∞$ {\mathcal{H}}_{\infty } $ Problem and Application to Controlled Asymptotic Filtering — Jovan Stefanovski · International Journal of Robust and Nonlinear Control (2025) | TGRS Research Map | TGRS