On parametric state feedback design

Roppenecker, G.

doi:10.1080/00207178608933503

Cited by 82 publications

(47 citation statements)

References 6 publications

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“…which is equivalent to (20). Hence, we conclude w T B k ;l;b D w T B k ;l;0 , so the part of the left eigenvector corresponding to the observer states is equal to the left eigenvector for the nominal system.…”

Section: Optimizing Robustness Of Fault Isolation Observersmentioning

confidence: 88%

Design of robust fault isolation observers for linear systems with bounded uncertain parameters

Wahrburg¹

2015

Adaptive Control & Signal

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In this article, a design procedure for robust fault isolation observers for linear systems is proposed. It allows to detect and isolate faults by means of a single, specifically parametrized observer, yielding a small implementation effort compared with standard bank-of-observers approaches. A design based on parametric eigenstructure assignment for nominal system dynamics is presented. The main contribution is to show how the remaining degrees of freedom can be utilized to optimize robustness of the fault isolation observer with respect to uncertain system parameters. Therein, the uncertainties are assumed to belong to a polyhedral domain. The application of the design to two examples verifies the results for systems defined by nominal dynamics and known bounds on the uncertain parameters.

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Section: Optimizing Robustness Of Fault Isolation Observersmentioning

confidence: 88%

Design of robust fault isolation observers for linear systems with bounded uncertain parameters

Wahrburg¹

2015

Adaptive Control & Signal

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“…Es basiert auf der Vollständigen Modalen Synthese [184], also auf der Vorgabe der Eigenstruktur des geschlossenen Regelkreises.…”

Section: Entwurf Mittels Vollständiger Modaler Syntheseunclassified

“…Analog dazu beschreibt W B die Linkseigenvektormatrix, deren Zeilen die Linkseigenvektoren w T B i sind. Bezüglich der Beobachtereigenwerte wird die folgende zusätzliche Annahme getroffen: Wie in [134,184] …”

Section: Entwurf Mittels Vollständiger Modaler Syntheseunclassified

“…Neben der bekannten Anwendung für den Reglerentwurf [184,185] wurden diese auch schon für den modalen Beobachterentwurf vorgeschlagen [183].…”

Section: Entwurf Mittels Vollständiger Modaler Syntheseunclassified

“…In gleicher Weise wie beim Entkopplungsreglerentwurf (vgl. [184]) zeigt sich an dieser Stelle ein wesentlicher Vorteil der Vollständigen Modalen Synthese gegenüber der in Abschnitt 4.5.1 präsentierten Methode: Der Entwurf ist bezüglich der nichtsteuerbaren Eigenwerte transparenter und liefert eine Erklärung dafür, warum die Minimalphasigkeit des Systems für den hier beschriebenen Entwurf eine unablässige Anforderung ist.…”

Section: Entwurf Von Fehlerisolationsbeobachtern Für Nominale Systemeunclassified

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Entwurf robuster modellbasierter Fehlerisolationsfilter

Wahrburg

2014

At - Automatisierungstechnik

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Robust eigenstructure assignment with minimum subspace separation

Lam

Tam

2004

Intl J Robust & Nonlinear

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SUMMARYA computation method for delivering a state feedback controller that assigns closed-loop eigenstructure with a minimum subspace separation and is robust towards unstructured perturbations is presented. The subspace separation is measured via the difference between two subspace projections, while the eigenstructure robustness is achieved by maximizing an upper bound on the allowable perturbation size such that the closed-loop system remains stable. By exploiting the Sylvester equation parametrization, the constraint of pole assignment can be satisfied intrinsically and the robust eigenstructure assignment design essentially becomes an unconstrained optimization task. Analytical gradient formulas of the objective functions to be handled are developed. The design approach is demonstrated through numerical examples.

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On parametric state feedback design

Cited by 82 publications

References 6 publications

Design of robust fault isolation observers for linear systems with bounded uncertain parameters

Design of robust fault isolation observers for linear systems with bounded uncertain parameters

Entwurf robuster modellbasierter Fehlerisolationsfilter

Robust eigenstructure assignment with minimum subspace separation

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