Parametric output feedback controller design

G. Roppenecker, J. O'Reilly

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    44 Scopus citations

    Abstract

    A parameterization of fixed gain output feedback controllers which will assign a complete set of distinct eigenvalues to a given state-space system is presented. The main result is a compact parametric expression for the output feedback controller gain matrix explicitly characterized by two sets of free parameters: the set of n closed-loop system eigenvalues and a set of mr - n design parameters for n-state, r-input, m-output systems. The free design parameters are determined by a sequential design procedure which automatically satisfies the basic orthogonality constraints on the left and right closed-loop eigenvectors under the condition m + r > n. The principal benefits of the explicit characterization of a parametric class of output feedback controllers lie in the ability to directly accommodate various different design criteria. An illustration of the parametric output feedback design procedure is given by way of approximating the optimal full state regulator response of a fifth-order pilot plant evaporator model. © 1989.
    Original languageBritish English
    Pages (from-to)259-265
    Number of pages7
    JournalAutomatica
    Volume25
    Issue number2
    DOIs
    StatePublished - 1989

    Keywords

    • eigenstructure assignment
    • multicriteria
    • Output feedback
    • parametric controller design
    • Evaporators--Control
    • Mathematical Techniques--Eigenvalues and Eigenfunctions
    • Output Feedback
    • Parametric Controller
    • Pilot Plant Evaporator Model
    • Control Systems

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