Decoupling problems around a trajectory: from linearity to nonlinearity

A.C. Ruiz, H. Nijmeijer

    Research output: Contribution to journalArticleAcademicpeer-review

    Abstract

    Given a nonlinear control system for which an admissible state trajectory is specified, we solve approximately the input output decoupling problem around this nominal trajectory. An approximate solution for this problem is obtained by dealing with the linearized system along this trajectory. An exact solution to the input output decoupling problem for the linearization is shown to be an approximate solution to the input output decoupling problem around the nominal trajectory for the original nonlinear system. In a similar way, we provide an approximate solution to the disturbance decoupling problem around a specified trajectory of the nonlinear system. The nonlinear model of a two link robot manipulator is used to illustrate the results on input output decoupling.
    Original languageEnglish
    Pages (from-to)1-23
    Number of pages23
    JournalIMA journal of mathematical control and information
    Volume11
    Issue number1
    DOIs
    Publication statusPublished - 1994

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