- AutorIn
- D. Chu
- V. Mehrmann
- Titel
- Minimum Norm Regularization of Descriptor Systems by Output Feedback
- Zitierfähige Url:
- https://nbn-resolving.org/urn:nbn:de:bsz:ch1-199801177
- Abstract (EN)
- We study the regularization problem for linear, constant coefficient descriptor systems $E x^. = AX + Bu, y_1 = Cx, y_2=\Gamma x^.$ by proportional and derivative mixed output feedback. Necessary and sufficient conditions are given, which guarantee that there exist output feedbacks such that the closed-loop system is regular, has index at most one and $E +BG\Gamma$ has a desired rank, i.e. there is a desired number of differential and algebraic equations. To resolve the freedom in the choice of the feedback matrices we then discuss how to obtain the desired regularizing feedback of minimum norm and show that this approach leads to useful results in the sense of robustness only if the rank of E is decreased. Numerical procedures are derived to construct the desired feedbacks gains. These numerical procedures are based on orthogonal matrix transformations which can be implemented in a numerically stable way.
- Freie Schlagwörter
- regularization
- mixed outputp
- differential and algebraic equations
- orthogonal matrix transformation
- MSC 93B05
- MSC 93B40
- MSC 93B52
- MSC 65F35
- Klassifikation (DDC)
- 510
- Publizierende Institution
- Technische Universität Chemnitz, Chemnitz
- URN Qucosa
- urn:nbn:de:bsz:ch1-199801177
- Veröffentlichungsdatum Qucosa
- 30.10.1998
- Dokumenttyp
- Preprint
- Sprache des Dokumentes
- Englisch