Stability analysis of positive switched T-S fuzzy systems based on fuzzy clustering sets

Abstract

Based on Takagi-Sugeno (T-S) fuzzy modeling, we deal with the problem of stability analysis for continuous-time switched positive nonlinear systems under the mode-dependent average dwell time (MDADT) switching. In our study, a fuzzy clustering method is firstly used to build the positive switched fuzzy model. Fuzzy partition for the structure space of positive switched fuzzy model is obtained by the fuzzy clustering method. On this basis, the MDADT switching is extended to switched positive T-S fuzzy system consisting of stable and unstable subsystems. The MDADT is activated to sufficiently large and the total running of stable subsystems is relatively big compared with that of unstable subsystems, then exponential stability of switched positive T-S fuzzy systems is guaranteed. Finally, the effectiveness of the proposed method is demonstrated by the example of the positive nonlinear system.