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Main Title: Robust formulas for optimal H∞ controllers
Author(s): Benner, Peter
Byers, Ralph
Losse, Philip
Mehrmann, Volker
Xu, Hongguo
Type: Research Paper
Abstract: We present formulas for the construction of optimal H∞ controllers that can be implemented in a numerically robust way. We base the formulas on the γ-iteration developed in [6]. The controller formulas proposed here avoid the solution of algebraic Riccati equations with their problematic matrix inverses and matrix products. They are also applicable in the neighborhood of the optimal γ, where the classical formulas may call for the inverse of singular or ill-conditioned matrices. The advantages of the new formulas are demonstrated by several numerical examples.
Subject(s): H∞ control
controller design
optimal controller
CS decomposition
Lagrangian subspaces
even pencil
Issue Date: 13-Oct-2010
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B36 H∞-control
65F15 Eigenvalues, eigenvectors
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2010, 20
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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