Applications of Computational Verbs to the Design of P-Controllers

The design of P-controllers based on computationalverb theory is to generalize fuzzy P-controllers from using fuzzysets to using computational verbs. As a part of fuzzy PIDcontroller, a (digital) fuzzy P-controller is designed based onthe fuzzification of error signals and their first differences. Togeneralize a fuzzy P-controller into a verb P-controller, first thefuzzy control rules are mapped onto a phase plot. Then based onthe spatial dynamics of control errors shown in the phase plot,verb control rules are constructed. Detailed design examples andsimulation results are used to demonstrate the design process.