分数阶T-S模糊关联大系统的稳定性分析

Stability Analysis of Fractional Order T-S Fuzzy Interconnected System

考虑分数阶T-S模糊关联大系统的稳定性问题.对分数阶非线性关联大系统建立分数阶T-S模糊模型,通过分数阶Lyapunov函数方法研究了分数阶T-S模糊关联大系统的稳定性,给出了分数阶T-S模糊系统的稳定性判别条件,所给出的稳定性判别条件是通过线性矩阵不等式形式来体现的.最后,给出了分数阶非线性关联大系统的仿真例子,说明所得结论的有效性.

This paper concerns stability problem of fractional order nonlinear interconnected system.The fractional order T-S fuzzy model for the subsystem of fractional order nonlinear interconnected system is designed.Then,a sufficient condition of stability for fractional order T-S fuzzy interconnected system is given based on fractional order Lyaponov function,and the results are obtained in terms of linear matrix inequalities.Finally,a numerical example of fractional order interconnected systems is presented to show the effectiveness of the proposed approach.