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Journal ArticleDOI

Reformulation of the parameter identification problem for systems with bounded disturbances

R. Lozano-Leal, +1 more
- 01 Mar 1987 - 
- Vol. 23, Iss: 2, pp 247-251
TLDR
Particular emphasis is given to the following aspects: to motivate, from geometrical and optimization considerations, the modifications (dead zones) required to cope with the disturbances, and to guarantee the convergence properties which are essential in the establishment of stability of identification-based adaptive control systems.
About
This article is published in Automatica.The article was published on 1987-03-01. It has received 69 citations till now. The article focuses on the topics: Adaptive control & Parameter identification problem.

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Citations
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Journal ArticleDOI

Estimation of parameter bounds from bounded-error data: a survey

TL;DR: Set-membership techniques for estimating parameters from uncertain data are reviewed and a suitable characterization of the set of all parameter vectors is found consistent with the model structure, data, and bounds on the errors.
Journal ArticleDOI

Optimal asymptotic identification under bounded disturbances

TL;DR: It is shown that under some topological conditions on the model set, there is an identification algorithm which is asymptotically optimal for any input, and the optimal asymPTotic error is characterized as a function of the inputs.
Journal ArticleDOI

Robust adaptive regulation without persistent excitation

TL;DR: In this paper, a globally convergent adaptive regulator for minimum or non-minimum phase systems subject to bounded disturbances is presented, which uses a least-squares identification algorithm with a dead zone.
Journal ArticleDOI

Parameter identification in the presence of non-parametric dynamic uncertainty

TL;DR: It is proved that the resulting parameter adjustment yields non-increasing parameter errors, with strictly decreasing parameter errors whenever the parameter errors are distinguishable from zero given the system input and output histories.
Journal ArticleDOI

Recursive least squares based estimation schemes for self‐tuning control

TL;DR: In this article, the basic recursive least squares (RLS) algorithm is discussed and several variants of the RLS algorithm are discussed, some of which contain different modifications to the basic scheme which are intended to prevent this loss of alertness to changing process parameters.
References
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Book

Adaptive filtering prediction and control

TL;DR: This unified survey focuses on linear discrete-time systems and explores the natural extensions to nonlinear systems and summarizes the theoretical and practical aspects of a large class of adaptive algorithms.
Journal ArticleDOI

On the value of information in system identification-Bounded noise case

TL;DR: The important new feature of the proposed algorithms is their ability to ignore redundant data and the efficient data extraction property of the new algorithms is achieved with small computational effort and with improved performance when compared to the least square algorithm.
Proceedings ArticleDOI

Bounded error adaptive control

TL;DR: In this paper, the problem of identifying and controlling when plant output is corrupted with disturbance and when plant parameters vary with time is considered, and the error model can be described by a non-homogeneous differential equation.
Journal ArticleDOI

Robust model reference adaptive control

TL;DR: In this paper, a model reference adaptive control algorithm is proposed to provide robust stability of the resulting closed-loop adaptive control system with respect to unmodeled plant uncertainties, which is achieved by using a relative error signal in combination with a dead zone and a projection in the adaptive law.
Journal ArticleDOI

Rapprochement between continuous and discrete model reference adaptive control

TL;DR: This alternative model is used to develop a new discrete model reference adaptive control law and a convergence analysis for the algorithm is presented.
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