.Modelica_LinearSystems2.ZerosAndPoles.Analysis

Information

Package of functions to analyse zeros-and-poles description represented by a ZerosAndPoles 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 zeros-and-poles 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 of a ZerosAndPoles transfer function
 denominatorDegree Return denominator degree of a ZerosAndPoles transfer function
 evaluate Evaluate a ZerosAndPoles transfer function at a given value of p
 zerosAndPoles Calculate zeros and poles of a ZerosAndPoles transfer function
 eigenValues Calculate the eigen values of a linear zeros-and-poles transfer function and write them in a complex vector
 eigenVectors Calculate the rigth eigenvectors of the corresponding state space system of a zeros-and-poles transfer function and write them columnwise in a matrix
 invariantZeros Compute invariant zeros of zeros-and-poles 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 zp-transfer-function
 isObservable Check observability of a zp-transfer-function
 isStabilizable Check stabilizability of a zp-transfer-function
 isDetectable Check detectability of a zp-transfer-function
 controllabilityMatrix Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a zp-transfer-function
 observabilityMatrix Calculate the observability matrix of zp-transfer-function

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