Analysis and design for a class of TS fuzzy controllers that circumvent curse of dimensionality

For most fuzzy controllers, it is well known that the number of fuzzy rules and adjustable parameters exponentially increases with the number of input variables. We investigate a class of zero-order TS fuzzy controllers that is able to circumvent this curse of dimensionality problem. The properties of the local stability and bounded-input bounded-output stability are proved. Based on the stability analysis, a design method is proposed for this class of fuzzy controllers. Our simulation results demonstrate its effectiveness.