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Critical system and associated monitoring method

  • US 10,261,505 B2
  • Filed: 11/19/2014
  • Issued: 04/16/2019
  • Est. Priority Date: 11/19/2013
  • Status: Active Grant
First Claim
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1. A critical system, in particular a critical flight system, including a control pathway comprising:

  • an actuation unit having a nonlinear behavior in the order of n and following the dynamic equation;


    {dot over (x)}=f(x,u), x∈

    custom charactern, u∈

    custom characterm where x is a vector state of dimension n, the components xi thereof representing an instantaneous state of the actuation unit, u is an input vector of dimension m, the components ui thereof representing input quantities of the actuation unit, f is a sufficiently derivable function, and n and m are integers, and is controlled by applying the input quantities and whose instantaneous state is characterized by output quantities measured by at least one appropriate sensor,wherein the behavior of the actuation unit is described by a flat nonlinear model, for which there exists an equivalent linear model establishing a relation between a flat input vector v of dimension m and a flat output vector z of dimension m, the flat output vector z depending on the state vector x and the input vector u and their time derivatives, according to the relationship;


    z=ψ

    z(x,u,{dot over (u)}, . . . ,u(p))such that the state vector x and the input vector u can be expressed only from the flat output vector z and its derivatives, according to the relationships;


    x=ψ

    x(z,ż

    , . . . ,z
    (q))
    u=ψ

    u(z,ż

    , . . . ,z
    (q+1))where g(p) represents the pth derivative of the function g relative to time,wherein the system comprises a monitoring pathway for the control pathway, having an estimation unit comprising;

    a passage module calculating, from the measured output quantities, the flat output vector of the equivalent linear model;

    a dynamic inversion linearization module, calculating from the flat output vector calculated, the flat input vector of the equivalent linear model;

    an estimation module estimating the flat output vector of the equivalent linear model from the flat input vector of the equivalent linear model, based on said equivalent linear model; and

    a computing module computing a residual based on the flat output vector estimated at the output of the estimation module and the flat output vector computed at the output of the passage module.

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