engleski

Analytical Structure of PI Fuzzy Logic Controller with Linear Control Rules

The proportional-integral fuzzy logic controller (PI FLC) with linear control rules designed by means of Max-min operation is analyzed It has been proven that the analytical structure of the PI FLC with linear control rules and N members for both input fuzzy sets, error and error rate, is the sum of a global multilevel relay and a local nonlinear proportional-integral (PI) controller The dynamic change of local nonlinear PI controller gains is exactly defined, with a phase plane in mind. The role of the global multilevel relay and the local nonlinear PI controller in total control action is quantitatively described. It has been proven that the nonlinear fuzzy controller with NxN linear control rules becomes a linear PI controller as N-inf. An example of temperature control is given for comparison of the control performances obtained by the PI controller and PI FLC with linear control rules.

control system analysis; fuzzy control; nonlinear control systems; PI control; relay control

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