Modeling, analysis and control of fuzzy systems

For the development of the field of fuzzy control systems, techniques for modeling fuzzy systems need to be developed, which makes analysis of the system and the design of control laws systematic. In this paper, a new model of fuzzy systems is proposed which is a variation of "Tagaki and Sugeno's fuzzy model". Analysis of this model in terms of stability, controllability, observability etc. is much simpler. It also makes model-based control design easier, while retaining the derivations of connections of fuzzy blocks for piecewise continuous polynomial membership functions. Although the model is easier to analyze, it can represent highly nonlinear dynamics.