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On computing minimal proper nullspace bases with applications in fault detection

Varga, Andreas (2011) On computing minimal proper nullspace bases with applications in fault detection. In: Lecture Notes in Electrical Engineering, 80. Springer. pp. 433-465.

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Abstract

We discuss computationally efficient and numerically reliable algorithms to compute minimal proper nullspace bases of a rational or polynomial matrix. The underlying main computational tool is the orthogonal reduction to a Kronecker-like form of the system matrix of an equivalent descriptor system realization. A new algorithm is proposed to compute a simple minimal proper nullspace basis, starting from a non-simple one. Minimal dynamic cover based computational techniques are used for this purpose. The discussed methods allow a high flexibility in addressing several fault detection related applications.

Document Type:Book Section
Title:On computing minimal proper nullspace bases with applications in fault detection
Authors:
AuthorsInstitution or Email of Authors
Varga, AndreasUNSPECIFIED
Date:2011
Refereed publication:Yes
Volume:80
Page Range:pp. 433-465
Publisher:Springer
Series Name:Lecture Notes in Electrical Engineering
Status:Published
Keywords:numerical methods, linear pencils, fault detection, descriptor systems
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Dr.-Ing. Andreas Varga
Deposited On:19 Jul 2011 10:55
Last Modified:12 Dec 2013 21:20

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