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Journal of Mathematical Analysis and Applications
Article
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Journal of Mathematical Analysis and Applications
Article . 2000
License: Elsevier Non-Commercial
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Journal of Mathematical Analysis and Applications
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Article . 2000
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Direct Adaptive Rejection of Persistent Disturbances

Direct adaptive rejection of persistent disturbances
Authors: Fuentes, Robert J; Balas, Mark J;

Direct Adaptive Rejection of Persistent Disturbances

Abstract

The paper deals with a system \( x'=Ax+Bu+Gu_d\), \(y= Cx\), where \(u_d\) is a persistent disturbance. It is assumed that the persistent disturbance has a finite representation \(u_d=a_1e_1f_1+\dots +a_le_lf_l\) with \(a_k\) constant scalars, \(e_k\) constant vectors, \(f_k\) functions with \(\|f_k\|=1\). The main result gives conditions when the bounded adaptive gain laws produce asymptotic output tracking. An application to almost periodic disturbances is considered. An illustrative example of the method is given.

Related Organizations
Keywords

disturbance, adaptive tracking, Adaptive or robust stabilization, Applied Mathematics, feedback system, output tracking, Perturbations in control/observation systems, Adaptive control/observation systems, disturbance rejection, linear time-invariant system, almost periodic disturbance, adaptive gain, Analysis

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
76
Top 10%
Top 1%
Average
hybrid