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, Jahrgang 81, Nr. 5, 01.01.2012, S. 797-802.Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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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 -