Publication

Balancing for Unstable Nonlinear Systems

Scherpen, J. M. A., 1993, Proceedings of the 32nd IEEE Conference on Decision and Control, 1993. University of Groningen, Research Institute of Technology and Management, Vol. 1. p. 14-19 6 p.

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A previously obtained method of balancing for stable nonlinear systems is extended to unstable nonlinear systems. The similarity invariants obtained by the concept of LQG balancing for an unstable linear system can also be obtained by considering a past and future energy function of the system. By considering a past and future energy function for an unstable nonlinear system, the concept of these similarity invariants for linear systems is extended to nonlinear systems. Furthermore the relation of this balancing method with the previously obtained method of balancing the coprime factorization of an unstable nonlinear system is considered. Both methods are introduced with the aim of using it as a tool for model reduction.
Original languageEnglish
Title of host publicationProceedings of the 32nd IEEE Conference on Decision and Control, 1993
PublisherUniversity of Groningen, Research Institute of Technology and Management
Pages14-19
Number of pages6
Volume1
ISBN (Print)0780312988
Publication statusPublished - 1993
Event32nd IEEE Conference on Decision and Control, San Antonio, Texas, USA -
Duration: 15-Dec-199317-Dec-1993

Conference

Conference32nd IEEE Conference on Decision and Control, San Antonio, Texas, USA
Period15/12/199317/12/1993

Event

32nd IEEE Conference on Decision and Control, San Antonio, Texas, USA

15/12/199317/12/1993

Event: Conference

    Keywords

  • model reduction, Hamilton-Jacobi-Bellman equations, nonlinear systems, balancing

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