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Main Title: H∞-control of discrete-time descriptor systems
Author(s): Poppe, Lisa Katrin
Type: Research Paper
Abstract: We consider the (sub)optimal H∞-control problem for discrete time descriptor systems. Necessary and sufficient optimality conditions are derived in terms of deflating subspaces of palindromic matrix pencils. This approach allows the use of structure preserving matrix techniques which lead to a more robust method compared with currently used algorithms. The approach is suitable for standard systems as well as for index one and higher index systems. We illustrate the results by a numerical example.
Subject(s): discrete-time system
robust control
palindromic pencil
differential-algebraic equation
Issue Date: 5-May-2015
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 34A09 Implicit equations, differential-algebraic equations
93B40 Computational methods
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2015, 07
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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