.Modelica_LinearSystems2.TransferFunction.Analysis

Package of functions to analyse transfer function represented by a TransferFunction record

Contents

Name Description
 analysis Make a system analysis based on the poles and zeros of the system
 timeResponse Calculate the time response of a transfer function
 impulseResponse Calculate the impulse time response
 stepResponse Calculate the step time response
 rampResponse Calculate the ramp time response
 initialResponse Calculate the time response for given initial condition and zero inputs
 numeratorDegree Return numerator degree
 denominatorDegree Return denominator degree
 evaluate Evaluate a transfer function for a given (Complex) value of s
 zerosAndPoles Calculate zeros and poles of a transfer function
 eigenValues Calculate the eigenvalues of a linear transfer function system and write them in a complex vector
 eigenVectors Calculate the right eigenvectors of the state space system corresponding to a transfer function and write them columnwise in a matrix. Optionally, the eigenvalues are computed
 invariantZeros Compute invariant zeros of linear transfer function
 dcGain Return steady state gain k (for a stable system: k = value of y at infinite time for a step input)
 isControllable Check controllability of a transfer function
 isObservable Check oberservability of a transfer function
 isStabilizable Check stabilizability of a transfer function
 isDetectable Check detectability of a transfer function
 controllabilityMatrix Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a transfer function
 observabilityMatrix Calculate the observability matrix of a transfer function

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