functiontimeResponse

Information

Syntax

      (y) = DiscreteStateSpace.Analysis.timeResponse(responseType, dss)
(y, t, x) = DiscreteStateSpace.Analysis.timeResponse(responseType, dss, tSpan, x0)

Description

Function timeResponse calculates the time responses of a discrete state space system. The type of the time response is defined by the input responseType, i.e.

Impulse "Impulse response",
Step "Step response",
Ramp "Ramp response",
Initial "Initial condition response"

Starting at x(t=0)=x0 and y(t=0)=C*x0 + D*u0, the outputs y and states x are calculated for each time step t=k*dss.Ts.

Example

  Modelica_LinearSystems2.DiscreteStateSpace dss=Modelica_LinearSystems2.DiscreteStateSpace(
    A = [0.904837418036],
    B = [0.095162581964],
    C = [2],
    D = [0],
    B2 = [0],
    Ts = 0.1);

  Real tSpan = 0.4;

  Modelica_LinearSystems2.Types.TimeResponse response=Modelica_LinearSystems2.Types.TimeResponse.Step;

  Real x0[1] = {0};

  Real y[5,1,1];
  Real t[5];
  Real x[5,1,1]

algorithm
  (y,t,x):=Modelica_LinearSystems2.DiscreteStateSpace.Analysis.timeResponse(dss,tSpan,response,x0);
//  y[:,1,1] = {0, 0.1903, 0.3625, 0.5184, 0.6594}
//         t = {0, 0.1, 0.2, 0.3, 0.4}
//  x[:,1,1] = {0, 0.0952, 0.1813, 0.2592, 0.33}

Inputs

Outputs