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

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 |

readSystemDimension | Read the order nx of state matrix and the numbers nu and ny of inputs and outputs |

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 |

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