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

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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.
Original languageEnglish
JournalInternational Journal of Pure and Applied Mathematics
Volume81
Issue number5
Pages (from-to)797-802
Number of pages6
ISSN1311-8080
Publication statusPublished - 01.01.2012

    Research areas

  • Engineering - Asymptotic stability, Discrete Approximations, Lyapunov functions and stability

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