Fuzzy Matrix Controllers

Detail

The Fuzzy Matrix controller display automatically updates based on the following:

  • Number of process inputs, 1 to 3
  • Number of memberships selected for each input, 2 to 7
  • Display range selected for each input.
  • Membership Breakpoints selected. Triangular and Trapezoidal memberships are supported.

The real advantage of Fuzzy Matrix Controllers over traditional PI controllers is the ability to tune non-linear gain maps.

AAI's Fuzzy Matrix Controller supports up to 3 process inputs "fuzzified" with up to 7 memberships each to create a 1x2 to 7x7x7 matrix controller. A 5x5 controller is shown here. Each square in this "classical" fuzzy logic controller represents a rule. In this example, the center square rule is "If 600# Steam Header Pressure is Steady and OK then make a zero change in output".

Another rule votes: "If 600# Steam Header Pressure is Steady AND High the make a Small Negative (SN) change to the output". Multiple rules fire "partially", depending on the rule truth.

The truth of each rule firing is indicated graphically as intensities of red. The yellow crosshair indicates where the process is at this moment in time. A Phase Plane Trajectory plot is displayed over the controller to aid in loop tuning. This feature is user selectable. With three process inputs, this controller can be visualized as a cube with up to 349 rules (7x7x7). With 3 analog inputs, up to 8 rules can partially fire simultaneously. A final incremental output is resolved using "center of area" voting. The final incremental output is added to the controller final output. The controller runs once per second.

 

 

 


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