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

The paper tackles the problem of executing high-dimensional fuzzy inferences following zeroth- and "rst-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 a$ne 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 e!ectiveness of the piecewise approach.