A Characterization of the Distance between Controllable and Uncontrollable LTI Systems


Abstract:

The controllability distance for a linear time-invariant (LTI) system is defined as the norm of the smallest perturbation rendering the system uncontrollable. This is a widely used concept in control theory and provides a measure of the robustness of a system. Previous investigations have shown that the controllability distance can be characterized by a optimization problem involving singular values of extended matrices. This characterization has been established for general first-order systems and a certain class of higher-order systems. In this paper, we develop an analogous characterization of the controllability distance for a more general family of LTI systems, where controllability is formulated in a behavioral framework.

Año de publicación:

2018

Keywords:

    Fuente:

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    scopusscopus

    Tipo de documento:

    Conference Object

    Estado:

    Acceso restringido

    Áreas de conocimiento:

    • Sistema de control
    • Teoría de control

    Áreas temáticas:

    • Física aplicada
    • Otras ramas de la ingeniería