Synthesis of minimum-order robust inverters View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

2009-04

AUTHORS

S. V. Emel’yanov, A. V. Il’in, V. V. Fomichev

ABSTRACT

In the present paper, we consider the inversion problem for dynamical systems, that is, the problem of reconstruction of the unknown input signal ξ(t) of a given system on the basis of known information (about either the complete phase vector or a measurable output of the system). An auxiliary dynamical system forming the desired estimate of the signal ξ(t) is called an inverter. In earlier papers of the authors, attention was mainly paid to the possibility of inversion of a dynamical system in different cases in principle. In this relation, a model of dynamical systems with some stabilizing control was used as an inverter for the solution of the problem; moreover, this control was often designed with the use of an additional dynamical system, an observer of the phase vector of the original system or the system in deviations. Thus, a dynamical system whose dimension either coincides with the dimension of the original system or exceeds it was considered as an inverter. In the solution of practical problems, it is often required to synthesize inverters of minimal order. (This requirement is related to constraints on the complexity, cost, and operation speed of automated control systems.) In the present paper, we consider the problem on the possible reduction of the order of the inverter in various cases and the problem on the construction of inverters of minimal order. More... »

PAGES

591-601

References to SciGraph publications

Journal

TITLE

Differential Equations

ISSUE

4

VOLUME

45

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1134/s0012266109040120

DOI

http://dx.doi.org/10.1134/s0012266109040120

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1015829868


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