A nonregular solution of the nonlinear dynamic disturbance decoupling problem with an application to a complete solution of the nonlinear model matching problem.

H.J.C. Huijberts

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    Abstract

    The nonregular dynamic disturbance decoupling problem for nonlinear control systems is introduced. A local solution is given by means of a constructive algorithm that is based on Singh’s algorithm and the clamped dynamics algorithm. Further studied is the nonlinear model matching problem that is defined as follows: given a nonlinear control system, to be referred to as the plant, and another nonlinear control system, to be referred to as the model, can a compensator for the plant be found in such a way that the input-output behavior of the compensated plant matches that of the model? By proving that the solvability of the nonlinear model matching problem is equivalent to the solvability of an associated nonregular dynamic disturbance decoupling problem, a complete local solution of this problem can be established.
    Original languageEnglish
    Pages (from-to)350-366
    JournalSIAM journal on control and optimization
    Volume30
    Issue number2
    DOIs
    Publication statusPublished - 1992

    Keywords

    • Nonlinear control systems
    • Dynamic disturbance decoupling
    • Dynamic precompensation
    • Clamped dynamics algorithm
    • Nonlinear model matching

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