.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 right 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