.Modelica_LinearSystems2.StateSpace.Internal

Information

Package of internal material of record StateSpace (for advanced users only)

Contents

Name	Description
assignOneOrTwoPoles	Algorithm to assign p (p = 1 or 2) eigenvalues
assignOneOrTwoPoles_alpha	Algorithm to assign p (p = 1 or 2) eigenvalues
characterizeEigenvalue	Check stability, stabilizability, controllability, observability nad detectability of the single poles
cntrHessenberg	Calculate the controllable part of a SISO system
complexPoles	Generate a zeros-and-poles representation from state space representation
complexZeros	Calculate the zeros of the related transfer function
controllablePoles	Compute the controllable and uncontrollable poles of a state space system
damping	Frequencies and damping of state space system
dgreeOfRedSys	Calculate the controllable and observable part of a state space system
householder	Householder transformation
invariantZerosWithRealMatrix	Compute invariant zeros of linear state space system (system given by A,B,C,D matrices)
invariantZeros2	Compute invariant zeros of linear SISO state space system with a generalized system matrix [A, B, C, D] which is of upper Hessenberg form
invariantZerosHessenberg	Fast version to calculate the system zeros of a SISO system with D=[0] and A has upper Hessenberg form, delivered by StateSpace.reduceSystem
isSISO	To check a state space system to be SISO (or not)
isControllableAndObservableSISO	To check whether a SISO system is controllable and observable
isControllableSISO	To check a SISO system whether it is controllable
isControllableMIMO	To check a MIMO system whether it is controllable
isDetectableSISO	To check whether a SISO system is detectable
isDetectableMIMO	Check whether a MIMO system is detectable
isObservableSISO	To check whether a SISO system is observable
isObservableMIMO	To check a MIMO system whether it is observable
isStabilizableSISO	To check whether a SISO system is stabliziable
isStabilizableMIMO	To check whether a MIMO system is stabliziable
numberOfPoles	Calculate the number of poles of the related transfer function
numberOfPolesAndZeros	Calculate the number poles and of zeros of the related transfer function
numberOfZeros	Calculate the number of zeros of the related transfer function
partialGain	Algorithm for partial gain
polesAndZeros	Generate poles and zeros from state space representation
readLength_nu	Read the number of inputs nu of a state space system from a file
readLength_nx	Read the order nx of a state space system from a file
readLength_ny	Read the number of outputs ny of a state space system from a file
reducedCtrSystem2	Calculate the controllable part of a SISO system
scaleFactor1	Return scale factor for first order block
scaleFactor2	Return scale factor for second order block
staircaseQR	Staircase algorithm to put a state space system to controller Hessenberg form
staircaseSVD	Staircase algorithm based on singular value decomposition
trianUpperHess	Triangulize an upper Hessenberg matrix by repeatedly applicated householder reflexion
transposeStateSpace	Return the transposed state space system
reduceRosenbrock	Algorithm to compress the generalized system matrix [A, B; C, D] to calculate the invariant zeros of a system
reducedCtrSystem	Calculate the controllable part of a SISO system
reducedCtrSystemX	Calculate the controllable part of a SISO system
read_dslin	Read a StateSpace data record from mat-file
absComplexVector	Return the absolute values of all elements of a complex vector that is defined by a vr[:] vector (real part) and a vi[:] vector (imaginary part)
polesAndZeros_Old	Plot poles (i.e. eigenvalues) and/or invariant zeros of a state space system (previous version of polesAndZeros that is kept, just in case)
bodeSISO_Old	Plot bode plot of the corresponding transfer function
bodeMIMO_old	Plot bode plot of all transfer functions, corresponding to the state space system