.Modelica_LinearSystems2.StateSpace.Analysis

Information

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

Contents

NameDescription
 analysisPerform a system analysis based on the poles and zeros of the system
 timeResponseCalculate the time response of a state space system
 impulseResponseCalculate the impulse time response of a state space system
 stepResponseCalculate the step time response of a state space system
 rampResponseCalculate the ramp time response of a state space system
 initialResponseCalculate the time response of a state space system for given initial condition and zero inputs
 numeratorDegreeReturn numerator degree of the corresponding transfer function
 denominatorDegreeReturn denominator degree of the corresponding transfer function
 evaluateEvaluate the corresponding transfer function at a given (complex) value of s
 zerosAndPolesCalculate zeros and poles of the TransferFunction corresponding to a state space representation
 eigenValuesCalculate the eigenvalues of a linear state space system and write them in a complex vector
 eigenVectorsCalculate the right eigenvectors of a linear state space system and write them columnwise in a matrix. Optionally, the eigenvalues are computed
 invariantZerosCompute invariant zeros of linear state space system
 dcGainReturn 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])
 isControllableCheck controllability of a state space system
 isObservableCheck observability of a state space system
 isStabilizableCheck stabilizability of a state space system
 isDetectableCheck detectability of a state space system
 controllabilityMatrixCalculate the controllability matrix [B, A*B, ..., A^(n-1)*B] of a state space system
 observabilityMatrixCalculate the observability matrix of a state space system
 analysis2Perform a system analysis based on the poles and zeros of the system

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