PIDesign:

Path: Common/Control

% Design a PI controller.

   Design a PI controller of the form

   y =  cx + du
   x =  ax + bu

   using pole placement. Inputs are the damping ratio and undamped natural
   frequency of the desired closed loop poles.

   If no outputs are requested then Bode plots for the controller will
   be drawn.

   To ensure that the gain at ƒ is less than 1 make certain that

   2*zeta*wN*inr < 1

--------------------------------------------------------------------------
   Form:
   [a, b, c, d, wC, k] = PIDesign( zeta, wN, inr, tSamp, sType )
--------------------------------------------------------------------------

   ------
   Inputs
   ------
   zeta                Damping ratio
   wN                  Undamped natural frequency
   inr                 Axis inertia
   tSamp               Sampling period
   sType               State equation type ('Delta' or 'Z')

   -------
   Outputs
   -------
   a                   Plant matrix
   b                   Input matrix
   c                   Output matrix
   d                   Feedthrough matrix
   wC                  0 dB Crossover
   k                   Gain at infinity

--------------------------------------------------------------------------

Children:

Common: CommonData/SwooshWatermark
Common: Control/C2DZOH
Common: Control/C2DelZOH
Common: Control/FResp
Common: Control/GND
Common: Control/GSS
Common: Control/ND2SS
Common: Control/S2Damp
Common: Control/SS2ND
Common: Control/SizeABCD
Common: Control/TrnsZero
Common: Control/WPZ
Common: Control/WReson
Common: Control/ZFresp
Common: General/CellToMat
Common: General/MatToCell
Common: General/Watermark
Common: Graphics/LogLimit
Common: Graphics/NewFig
Common: Graphics/Plot2D
Common: Graphics/PltStyle
Common: Graphics/TextS
Math: Linear/ColCompR
Math: Linear/DelLZ
Math: Linear/IsZero
Math: Linear/RowCompU

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