.Modelica_LinearSystems2.DiscreteStateSpace.timeResponse

Information

Syntax

    (y) = DiscreteStateSpace.timeResponse(dss, u)
            or
(y, xc) = DiscreteStateSpace.timeResponse(dss, u, x0)

Description

This function calculates the time responses to input u of a discrete state space system. Default of initial state x0 is x0=0.

Example

  import dss=Modelica_LinearSystems2.DiscreteStateSpace;
  import Modelica_LinearSystems2.StateSpace;
  StateSpace ss=Modelica_LinearSystems2.StateSpace(
    A=[-1],
     B=[1],
     C=[2],
     D=[0]);
  Real Ts=0.1;
  dss=dss(ss,Ts);
  Real x0[1]={0};

  Real y[:,:]=dss.timeResponse(dss,ones(51,1));

//  y=[0.09524, 0.2766, 0.4408,..., 1.9844, 1.9859, 1.9872]

Interface

encapsulated function timeResponse
  import Modelica;
  import Modelica_LinearSystems2;
  import Modelica_LinearSystems2.DiscreteStateSpace;
  input DiscreteStateSpace sd "Linear system in discrete state space form";
  input Real u[:, size(sd.B, 2)] = ones(3, size(sd.B, 2)) "System input (dimension: (input samples) x (number of inputs))";
  input Real x0[size(sd.A, 1)] = zeros(size(sd.A, 1)) "Initial system state";
  output Real y[size(u, 1), size(sd.C, 1)] "System response (dimension: (input samples) x (number of outputs))";
  output Real x_continuous[size(u, 1), size(sd.A, 1)] "State trajectories (dimension: (input samples) x (number of states)";
end timeResponse;

Revisions

Date Author Comment
2010-05-31 Marcus Baur, DLR-RM Realization

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