The minimum number of degrees of freedom in state feedback control: International Journal of Control

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    Abstract

    A general eigenvalue assignment (EA) control problem for linear multivariable systems is formulated and solved within the framework of parametric eigenstructure assignment. It is shown that EA control is achievable by means of a family of classes of state feedback EA controllers. The number of classes is equal to the number of admissible Jordan forms of the closed-loop system. Each class is characterized by a specific minimum number N of free parameters (degree of freedom) in the parametric form of the feedback gain matrix. The class of EA controllers with the greatest value of N is specified. Salient aspects of the method are highlighted in a numerical example. © 1985 Taylor & Francis Group, LLC.
    Original languageBritish English
    Pages (from-to)749-768
    Number of pages20
    JournalInt J Control
    Volume41
    Issue number3
    DOIs
    StatePublished - 1985

    Keywords

    • CONTROL SYSTEMS, LINEAR - Theory
    • MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions
    • ADMISSIBLE JORDAN FORMS
    • LINEAR MULTIVARIABLE SYSTEMS
    • MINIMUM NUMBER OF DEGREES OF FREEDOM
    • CONTROL SYSTEMS, MULTIVARIABLE

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