Using Mathematica to Solve MIMO control Problems

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					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

				
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posted:9/4/2011
language:English
pages:11