Linear Algebra Based trajectory control

[ES] En este tutorial se resumen las principales características de una nueva metodología de diseño de sistemas de control para el seguimiento de trayectorias en procesos no lineales. Esta metodología, denominada LAB (Linear Algebra Based), fue presentada por los autores hace más de diez años y ha tenido una fuerte repercusión por su sencillez y facilidad de aplicación, si bien no es aplicable para algunos problemas de seguimiento en sistemas no lineales. Se exponen las etapas en el diseño de un controlador LAB, tanto en tiempo continuo como en discreto. La aplicación al control de la trayectoria de un robot móvil, en tiempo continuo, sirve para ilustrar el desarrollo e implementación del control. Se analizan algunas propiedades del sistema controlado y se resaltan las condiciones de aplicación. Numerosas referencias facilitan el desarrollo de algunas características y su aplicación en diversos campos de la robótica y del control de procesos en general.[EN] In this tutorial, the main features of a new control design methodology for tracking control in nonlinear processes is summarized. The so called LAB (Linear Algebra Based) methodology was introduced by the authors more than ten years ago and it has been accepted and used by many researchers mainly due to its simplicity and easy application. Nevertheless, it is not applicable to all the tracking problems dealing with nonlinear systems. The LAB controller design procedure, both in continuous time and discretetime, is outlined. The design of the trajectory control of a mobile robot illustrates the procedure as well as its implementation. Some properties of the controlled process are discussed and the problem requirements for a successful application are pointed out. 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