.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 right 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