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Using Mathematica to Solve MIMO Control Problems

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.

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Using Mathematica to Solve MIMO Control Problems

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

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

  3. Example 1

  4. Mathematica • Input equations

  5. Mathematica • Create matrix

  6. Mathematica • Check output

  7. Mathematica • Input variables

  8. Mathematica • Solve matrix

  9. Mathematica • Take the transpose of the matrix

  10. Mathematica • Calculate the RGA by multiplying matrices piecewise

  11. 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

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