Multivariable Structure of Fuzzy Control Systems

In the analysis and design of expert control systems, when linguistic types of control algorithms are used, it is important to model a physical system using fuzzy theoretic approach. The modeling, analysis, and synthesis of multivariable structures of fuzzy control systems is discussed. First, a multivariable open-loop fuzzy system is described by a set of fuzzy equations. Then a block diagram of the system consisting of functional blocks and intersectional blocks is presented. Series, parallel, and series-parallel connections of multivariable open-loop systems are also analyzed. Multivariable feedback structures are depicted by a set of fuzzy equations and block diagrams. Then the theory of multivariable-multilevel structures is presented. An example of two interconnected tank liquid-level system is given.