Resumen

VAQUERO LOPEZ, Jissie  y  MILIAN DEL VALLE, Carlos Luis. Nonlinear control by Approximate linearization applied to the non-linear system of a ring on a rotating ring. Rev cuba cienc informat [online]. 2016, vol.10, n.2, pp.89-99. ISSN 2227-1899.

In this paper the method of approximate linearization technique is presented as control of nonlinear physical systems around an operating point. The Approximate linearization technique is introduced through a comprehensive representation of the state equations. It is intended to see the nonlinear system as an integral equation and it is analyzed the effect of small perturbations around a breakeven point. Neglecting higher order terms of the effect of such disturbances and retaining only the linear terms, is presented in a single linearization scheme that approximates the behavior of the perturbed system. Simulation is carried out with a model that represents the position of a ring on a rotary ring. The simulation is performed in Matlab^® since it is useful to illustrate the properties when the non-linear controlled system behavior studied and control strategy proposed. Matlab^® is a general purpose numerical environment oriented structures using vector and matrix type, which allows to execute sequential algorithms with a wide range of applications. The main use was given as numerical simulation program that means that the algorithms were used for obtaining available solutions of ordinary differential equations systems. Finally, the results of applying the technique of control in this model are analyzed.

Palabras clave : technical of control; nonlinear system; approximate linealization; simulation in Matlab.

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