Multiparameter polynomial adaptive stabilizers

S. Nikitin; D. Prätzel-wolters

doi:10.1093/imamci/8.4.431

Multiparameter polynomial adaptive stabilizers

S. Nikitin, D. Prätzel-wolters

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	431-439
Number of pages	9
Journal	IMA Journal of Mathematical Control and Information
Volume	8
Issue number	4
DOIs	https://doi.org/10.1093/imamci/8.4.431
State	Published - 1991
Externally published	Yes

ASJC Scopus subject areas

Control and Systems Engineering
Control and Optimization
Applied Mathematics

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10.1093/imamci/8.4.431

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Multiparameter polynomial adaptive stabilizers

Abstract

ASJC Scopus subject areas

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