Abstract:

A novel stability analyisis method was proposed for addressing the problem of stability analysis of continuoustime nonlinear systems based on the Takagi-Sugeno fuzzy model. In the process of stability analysis, aslack matrix method was applied to further considering the useful underlying fuzzy membership functions’ time derivative. Owing to more freedom can be introduced in virtue of the slack matrix method, the obtained stability criteria are less conservative than those existing ones. Furthermore, the stability criteria proposed are given in terms of linear matrix inequality, which is easily solved via MATLAB numerical software. Finally, a numerical example was given to illustrate the effectiveness of the proposed result.

Key words: nonlinear systems, stability analysis； T-S fuzzy model, slack matrix