Parametric eigenstructure assignment for continuous-time descriptor systems: International Journal of Control

M.M. Fahmy, J. O'reilly

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    43 Scopus citations

    Abstract

    Eigenstructure assignment for continuous-time descriptor systems Ei(t) = Ax(t) + Bu(t) via descriptor-variable feedback control u(t) = Kx(t) is treated. A new parametric form for the gain matrix K which assigns rank [El arbitrary finite eigenvalues to the closed-loop system is developed. This form embraces two sets of design parameter vectors characterizing respectively the assignable eigenvectors associated with the finite eigenvalues and a necessary and sufficient condition for closed-loop system regularity. In addition, a certain submatrix of K turns out to be totally free whenever nullity [El exceeds rank [B]. Unlike earlier methods, the eigenvectors associated with the infinite eigenvalues are dispensed with in the solution algorithm. © 1989 Taylor & Francis Group, LLC.
    Original languageBritish English
    Pages (from-to)129-143
    Number of pages15
    JournalInt J Control
    Volume49
    Issue number1
    DOIs
    StatePublished - 1989

    Keywords

    • Mathematical Techniques--Eigenvalues and Eigenfunctions
    • Closed-Loop System
    • Continuous-Time Descriptor
    • Eigenstructure Assignment
    • Feedback Control
    • Gain Matrix
    • Generalized State-Space Systems
    • Control Systems

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