.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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