Skip Navigation

IMA Journal of Mathematical Control and Information 1991 8(4):431-439; doi:10.1093/imamci/8.4.431
© 1991 by Institute of Mathematics and its Applications
This Article
Right arrow Full Text (PDF)
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by NIKITIN, S.
Right arrow Articles by PRÄTZEL-WOLTERS, D.
Right arrow Search for Related Content
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

Multiparameter Polynomial Adaptive Stabilizers

S. NIKITIN and D. PRÄTZEL-WOLTERS

Fachbereich Mathematik, Universität Kaiserslautern Erwin-Schrödinger-Strasse, W-6750, Kaiserslautern, Germany

In 1983 Morse proved, for unknown scalar one-dimensional linear systems, the nonexistence of rational or polynomial universal stabilizers (UAS). In 1983, Nussbaum gave an example of an analytic UAS. In our paper, it is shown that there exist time-invariant polynomial UAS's with multidimensional gain adaptation. The design procedure is developed for linear, minimum-phase systems of relative degree one. Convergence of the closed-loop system is proved. Some numerical simulations are provided.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer:
Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.