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On Balancing and Order Reduction of Unstable Periodic Systems

Varga, Andras (2001) On Balancing and Order Reduction of Unstable Periodic Systems. Workshop on Periodic Control Systems PSYCO 2001, 2001-08-27 - 2001-08-28, Cernobbio-Como.

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Abstract: We consider the direct application of balancing techniques to unstable periodic systems by extending the balancing concepts to arbitrary periodic systems. We extend first the balancing concepts to unstable discrete-time systems by defining the reachability and observability grammians from appropriate right and left coprime factorizations with inner denominators. Further, we extend this new balancing method to unstable linear time-varying discrete-time systems with periodically varying coefficient matrices. The new balancing approach serves as basis to develop balancing related order reduction methods for unstable periodic systems using accuracy enhancing square-root and balancing-free algorithms.

Document Type:Conference or Workshop Item (Speech)
Title:On Balancing and Order Reduction of Unstable Periodic Systems
AuthorsInstitution or Email of Authors
Date:August 2001
Keywords:Keywords: Periodic systems, time-varying systems, discrete-time systems, balanced truncation, model reduction, numerical methods
Event Title:Workshop on Periodic Control Systems PSYCO 2001
Event Location:Cernobbio-Como
Event Type:international Conference
Event Dates:2001-08-27 - 2001-08-28
HGF - Research field:other
HGF - Program:other
HGF - Program Themes:other
DLR - Research area:no assignement
DLR - Program:no assignment
DLR - Research theme (Project):other
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering)
Deposited By: Astrid Jaschinski
Deposited On:13 Mar 2006
Last Modified:12 Dec 2013 20:10

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