Features and possibilities of remodeling nonlinear systems based on Takagi-Sugeno fuzzy models

Remodeling involves the transition from existing models of the given system to the models of some other class that reveals possibilities for overcoming research difficulties. Takagi- Sugeno (T-S) fuzzy models provide an established approach to description, analysis and synthesis of nonlinear systems. However the potential of transition to fuzzy description on the basis of T- S models is not fully understood and implemented in analysis and synthesis of nonlinear systems. The paper uncovers the peculiarities of the approach to nonlinear system remodeling based on T-S fuzzy models. It demonstrates the scheme of fuzzy remodeling that allows replacing the initial model of the nonlinear system by the T-S fuzzy model equivalent to it in a bounded area of the phase space. The examples illustrating the range of approach applications are given. It is shown that the transition from a nonlinear model to a T-S fuzzy one enables us to solve various analysis and control tasks via the implementation of the apparatus of linear matrix inequalities. The sources of conservatism of fuzzy remodeling, that lie in peculiarities of T-S fuzzy models are emphasized.