.Modelica_LinearSystems2.StateSpace.Analysis

Information

This package collects functions used for common analyses on a state space system represented by a StateSpace record.

Contents

Name Description
analysis Perform a system analysis based on the poles and zeros of the system
timeResponse Calculate the time response of a state space system
impulseResponse Calculate the impulse time response of a state space system
stepResponse Calculate the step time response of a state space system
rampResponse Calculate the ramp time response of a state space system
initialResponse Calculate the time response of a state space system for given initial condition and zero inputs
numeratorDegree Return numerator degree of the corresponding transfer function
denominatorDegree Return denominator degree of the corresponding transfer function
evaluate Evaluate the corresponding transfer function at a given (complex) value of s
zerosAndPoles Calculate zeros and poles of the TransferFunction corresponding to a state space representation
eigenValues Calculate the eigenvalues of a linear state space system and write them in a complex vector
eigenVectors Calculate the rigth eigenvectors of a linear state space system and write them columnwise in a matrix. Optionally, the eigenvalues are computed
invariantZeros Compute invariant zeros of linear state space system
dcGain Return steady state gain matrix K (for a stable system: K[i,j] = value of y[i] at infinite time for a step input of u[j])
isControllable Check controllability of a state space system
isObservable Check observability of a state space system
isStabilizable Check stabilizability of a state space system
isDetectable Check detectability of a state space system
controllabilityMatrix Calculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a state space system
observabilityMatrix Calculate the observability matrix of a state space system
analysis2 Perform a system analysis based on the poles and zeros of the system

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