Abstract
This paper presents a fuzzy cell-to-cell mapping method for implementing a sub-optimal control law. The method preserves the simplicity and flexibility properties of the original cell mapping technique but it relaxes the requirement on the number of cells. Since the new method generates smooth control efforts, it does not create the chattering phenomena. Furthermore, the new method eliminates the problem of steady-state error accumulation caused by the inexact state description. Experimental studies on the control of a DC servo motor show that finer grid sizes achieve trajectories that are closer to the analytical solution. Different loadings were also tried on the motor to demonstrate the robustness of the method.
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