Using Mathematica to Solve MIMO Control Problems Magnesium δ Yuan Ma Julie Wesely.

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Presentation transcript:

Using Mathematica to Solve MIMO Control Problems Magnesium δ Yuan Ma Julie Wesely

Background MIMO: Multi-Input-Multi-Output Control Schemes Analyze MIMO Control Schemes using RGA’s: Relative Gain Arrays

Example 1

Mathematica Input equations

Mathematica Create matrix

Mathematica Check output

Mathematica Input variables

Mathematica Solve matrix

Mathematica Take the transpose of the matrix

Mathematica Calculate the RGA by multiplying matrices piecewise

Mathematica Results of Example 1 are given on the wiki Advantages of using Mathematica: – Calculations are faster – See the results of changing initial conditions – Analyze MIMA using RGA with large matrices