.Modelica_LinearSystems2.TransferFunction.Analysis

Information

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

Contents

NameDescription
analysisMake a system analysis based on the poles and zeros of the system
timeResponseCalculate the time response of a transfer function
impulseResponseCalculate the impulse time response
stepResponseCalculate the step time response
rampResponseCalculate the ramp time response
initialResponseCalculate the time response for given initial condition and zero inputs
numeratorDegreeReturn numerator degree
denominatorDegreeReturn denominator degree
evaluateEvaluate a transfer function for a given (Complex) value of s
zerosAndPolesCalculate zeros and poles of a transfer function
eigenValuesCalculate the eigenvalues of a linear transfer function system and write them in a complex vector
eigenVectorsCalculate 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
invariantZerosCompute invariant zeros of linear transfer function
dcGainReturn steady state gain k (for a stable system: k = value of y at infinite time for a step input)
isControllableCheck controllability of a transfer function
isObservableCheck oberservability of a transfer function
isStabilizableCheck stabilizability of a transfer function
isDetectableCheck detectability of a transfer function
controllabilityMatrixCalculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a transfer function
observabilityMatrixCalculate the observability matrix of a transfer function

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