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LinearSystems.LTIZeros Method

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

Syntax
C#
Visual Basic
public static void LTIZeros([In] TVec z, out double gain, [In] TMtx A, [In] TVec B, [In] TVec C, [In] double D);

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.

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); }
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