A Kalman decomposition to detect temporal linear system srtucture

L.G. Van Willigenburg*, W.L. De Koning

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference paper

3 Citations (Scopus)

Abstract

Feedback controllers for non-linear systems are often based on a linearized dynamic model. Such a linearized model may be temporarily uncontrollable and/or unreconstructable. This paper introduces the so-called differential Kalman decomposition of time-varying linear systems. It is based on differential controllability and differential reconstructability in conjunction with a linear time-varying continuous-time system description that allows the system structure and dimensions to change at certain time-instants. We show how these together enable the detection of what will be called temporal system structure. This structure among other things reveals the temporal loss of controllability and/or reconstructability. Moreover this paper shows how time-varying state-dimensions enable a satisfactory realization theory for time-varying linear systems and how our Kalman decomposition is linked to the conventional ones.

Original languageEnglish
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages1721-1726
ISBN (Print)9783952417386
Publication statusPublished - 25 Mar 2015
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: 2 Jul 20075 Jul 2007

Conference

Conference2007 9th European Control Conference, ECC 2007
CountryGreece
CityKos
Period2/07/075/07/07

Fingerprint Dive into the research topics of 'A Kalman decomposition to detect temporal linear system srtucture'. Together they form a unique fingerprint.

  • Cite this

    Van Willigenburg, L. G., & De Koning, W. L. (2015). A Kalman decomposition to detect temporal linear system srtucture. In 2007 European Control Conference, ECC 2007 (pp. 1721-1726). [7068259] Institute of Electrical and Electronics Engineers Inc..