LinearSystems.LTIZeros Method

Find zeros of a linear time invariant system in state-space form.

public LTIZeros(TVec z, ref double gain, TMtx A, TVec B, TVec C, double D);

Remarks

Compute zeros of a linear time invariant system represented in state space form. The resulting zeros are placed in Z and computed system gain in Gain.

C# Example

If a linear time invariant system is represented by A,B,C,D, a zero pole representation can be obtained like this:

  using Dew.Math;
  using Dew.Math.Editors;
  using Dew.Math.Units;
  using Dew.Signal;
  using Dew.Signal.Units;
  using Dew.Math.Tee;
  using Dew.Signal.Tee;

  private void button1_Click(object sender, EventArgs e)
  {
     Vector z = new Vector(0);
     Vector p = new Vector(0);
     Vector b = new Vector(3);
     Vector c = new Vector(3);
     Matrix a = new Matrix(3, 3);
     double k,d;

     a.SetIt(3, 3, false, new double[9] {0,1,2,
                                         2,3,4,
                                         5,6,3});
     b.Values[0] = 1;
     b.Values[1] = 0.5;
     b.Values[2] = 2;
     c.Values[0] = 1;
     c.Values[1] = 2.5;
     c.Values[2] = 2;
     d = 1;
     //        ....   get a state space version and store in A,B,C,D
     a.Eig(p,TMtxType.mtGeneral); //compute poles
     LinearSystems.LTIZeros(z, out k, a, b, c, d); //get zeros and gain
     MtxVecEdit.ViewValues(z,"Zeros",true);
     MtxVecEdit.ViewValues(p,"Poles",true);
  }