High-speed DSP-based implementation of piecewise-affine and piecewise-quadratic fuzzy systems

Abstract The paper tackles the problem of executing high-dimensional fuzzy inferences following zeroth- and first-order Takagi–Sugeno inference models. The choice of a proper AND operator, which is compatible with all the semantic requirements for a conjunctive aggregation, results in an input–output relationship which is piecewise affine or quadratic. The proposed inference procedures exploit this to perform the computation from inputs to output in a time that does not grow exponentially with the number of inputs. Some details of the implementation of the two inference procedures on a TMS320C6201 are given along with some simulation results demonstrating the effectiveness of the piecewise approach.