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Fuzzy logic multi-regional controllers — Design and stability analysis

Design and stability analysis of fuzzy multiregional digital controllers is considered in the paper. The controllers are based on a notion of NARMAX systems, very simmilar to the Takagi-Sugeno fuzzy model. The nonlinear system is approximated by a number of linear subsystems. Linear controllers are designed for all subsystems. It can be made in a classical way due to the subsystems linearity. The controllers are blend into one controller by employing fuzzy logic, the result is the fuzzy multiregional controller (FuMR). The stability analysis of nonlinear systems with FuMR controllers is provided. Examples illustrate the design procedure and the meaning of the stability criterion.