A discrete approximate solution for the asymptotic tracking problem in affine nonlinear systems

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A discrete approximate solution for the asymptotic tracking problem in affine nonlinear systems. / Mercorelli, P.
In: International Journal of Pure and Applied Mathematics, Vol. 81, No. 5, 01.01.2012, p. 797-802.

Research output: Journal contributionsJournal articlesResearchpeer-review

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@article{f523807faae34a9f9c8ea5cbce9e2c68,
title = "A discrete approximate solution for the asymptotic tracking problem in affine nonlinear systems",
abstract = "This paper deals with a general tracking problem for affine non-linear systems. The approach is quite general. In fact, a Lyapunov function is chosen and a stabilizing structure of the solution to solve a general tracking problem is proposed. Nevertheless, the general final solution is a discrete one and consists of an approximation of the continuous solution. Moreover, there is an assumption which should be guaranteed in order to obtain the explicit expression of the digital final solution. Despite this assumption the solution remains valid for a wide range of applications according to practical tests. The importance of the solution consists of its generality. In fact, any kind of non-linearity could be taken into account. Also technical nonlinearities such as hysteresis, saturations, and creep could be considered.",
keywords = "Engineering, Regelungstechnik, Antriebstechnik, Asymptotic stability, Discrete Approximations, Lyapunov functions and stability",
author = "P. Mercorelli",
note = "Copyright 2013 Elsevier B.V., All rights reserved.",
year = "2012",
month = jan,
day = "1",
language = "English",
volume = "81",
pages = "797--802",
journal = "International Journal of Pure and Applied Mathematics",
issn = "1311-8080",
publisher = "Academic Publications Ltd.",
number = "5",

}

RIS

TY - JOUR

T1 - A discrete approximate solution for the asymptotic tracking problem in affine nonlinear systems

AU - Mercorelli, P.

N1 - Copyright 2013 Elsevier B.V., All rights reserved.

PY - 2012/1/1

Y1 - 2012/1/1

N2 - This paper deals with a general tracking problem for affine non-linear systems. The approach is quite general. In fact, a Lyapunov function is chosen and a stabilizing structure of the solution to solve a general tracking problem is proposed. Nevertheless, the general final solution is a discrete one and consists of an approximation of the continuous solution. Moreover, there is an assumption which should be guaranteed in order to obtain the explicit expression of the digital final solution. Despite this assumption the solution remains valid for a wide range of applications according to practical tests. The importance of the solution consists of its generality. In fact, any kind of non-linearity could be taken into account. Also technical nonlinearities such as hysteresis, saturations, and creep could be considered.

AB - This paper deals with a general tracking problem for affine non-linear systems. The approach is quite general. In fact, a Lyapunov function is chosen and a stabilizing structure of the solution to solve a general tracking problem is proposed. Nevertheless, the general final solution is a discrete one and consists of an approximation of the continuous solution. Moreover, there is an assumption which should be guaranteed in order to obtain the explicit expression of the digital final solution. Despite this assumption the solution remains valid for a wide range of applications according to practical tests. The importance of the solution consists of its generality. In fact, any kind of non-linearity could be taken into account. Also technical nonlinearities such as hysteresis, saturations, and creep could be considered.

KW - Engineering

KW - Regelungstechnik

KW - Antriebstechnik

KW - Asymptotic stability

KW - Discrete Approximations

KW - Lyapunov functions and stability

UR - http://www.scopus.com/inward/record.url?scp=84871772434&partnerID=8YFLogxK

M3 - Journal articles

AN - SCOPUS:84871772434

VL - 81

SP - 797

EP - 802

JO - International Journal of Pure and Applied Mathematics

JF - International Journal of Pure and Applied Mathematics

SN - 1311-8080

IS - 5

ER -

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