The Pseudooperators in Secound Oreder Control Problems

This paper deals with the control of a dynamic system where the gains of theconventional PD controller are previously chosen by fuzzy methods in such a way as toobtain the optimal trajectory tracking. The gain factors are determined by solving fuzzyequations, and based on the sufficient possibility measure of the solution. It will be shown,that the rule premise for the given system input in fuzzy control system may also determinethe possibility of realizing a rule. This possibility can be used for verifying the rule and forchanging the rule-output, too. This leads to the optimization of the output. Whencalculating the possibility value the possible functional relation between the rule-premiseand rule-consequence is taken into account. For defining the rule of inference in FuzzyLogic Control (FLC) system special class of t-norm is used. The proposed fuzzy logiccontroller uses the functional relation between the rule premises and consequences, and thespecial class of pseudo-operators in the compositional rule of inference.