Membership Function Dependent Stability Analysis of Fuzzy Large-Scale Systems with Unknown Interconnection Terms Using Fuzzy Lyapunov Function

Here, the stability of a large-scale control system based on fuzzy models is examined. Therefore, a Takagi-Sugeno fuzzy model with unknown interconnections is adopted for fuzzy modeling of the large-scale nonlinear system. In a contemporary FMB control system, the T-S fuzzy model and fuzzy controller do not share the same premise membership functions or the same quantity of fuzzy rules. The membership functions of the T-S model and fuzzy controller are included in the stability evaluation and the stability conditions using a membership-function-dependent (MFD) stability analysis notion (linear matrix inequalities). Due to the MFD steadiness conditions, they are supplied with the necessary membership functions to the FMB control system. Therefore, compared to the existing MFI (membership-function-independent) stability standards, the MFD steadiness conditions are more lax. Finally, a simulation is introduced.