Publication Date




Published in the Proceedings of The Eighth International Fuzzy Systems Association World Congress IFSA'99, Taipei, Taiwan, August 17-20, 1999, pp. 246-250.


Traditional (non-fuzzy) control methodology deals with situations when we know exactly how the system behaves and how it will react to different controls, and we want to choose an appropriate control strategy. This methodology enables us to transform the description of the plant's (system's) behavior into an appropriate control strategy. In many practical situations, we do not have the exact knowledge of the system's behavior, but we have expert-supplied fuzzy rules which describe this behavior. In such situations, it is desirable to transform these description rules into rules describing control. There exist several reasonable heuristics for such transformation; however, the lack of formal justification restricts their applicability. In this paper, we provide a justification for the most natural of the known heuristics: whenever we have a description rule "if A(x) and B(u) then C(x')", and we want to achieve x'=d(x), add a control rule "if A(x) and C(d(x)), then B(u)".