functiontimeResponse

Information

Syntax

(y, t, x) = StateSpace.Analysis.timeResponse(ss, dt, tSpan, responseType, x0)

Description

This function calculates the time responses of a 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"

The state space system is transformed to a appropriate discrete state space system and, starting at x(t=0)=x0 and y(t=0)=C*x0 + D*u0, the outputs y and x are calculated for each time step t=k*dt.

Example

  Modelica_LinearSystems2.StateSpace ss=Modelica_LinearSystems2.StateSpace(
    A=[-1],
    B=[1],
    C=[2],
    D=[0]);
  Real 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.StateSpace.Analysis.timeResponse(ss,Ts,tSpan,response,x0);
  // y[:,1,1] = {0, 0.19, 0.3625, 0.518, 0.659}
  //        t = {0, 0.1, 0.2, 0.3, 0.4}
  // x[:,1,1] = {0, 0.0952, 0.1813, 0.2592, 0.33}

Inputs

Outputs

Revisions