2-D离散随机模糊系统的均方稳定性

Mean-square Stability for 2-D Discrete Stochastic Fuzzy Systems

研究了一类2-D离散随机模糊系统的稳定问题,分析了该系统的H∞性能指标。首先,根据FM第二模型建立了2-D离散随机模糊系统。其次,利用基依赖Lyapunov函数等方法,建立了满足给定性能指标并使得系统均方渐近稳定的充分条件。与公共Lyapunov函数相比,基依赖Lyapunov函数方法可减小结果的保守性。通过实例验证了设计方法的有效性。

This paper mainly deals with the problem of mean-square stability and H∞ performance analysis for a class of 2-D discrete stochastic fuzzy systems. The 2-D discrete stochastic fuzzy system under consideration arc established by the Fornasini-Marchesini（FM） Second Model. Sufficient conditions of mean-square stability with H∞ performance for she 2-D discrete stochastic fuzzy system are proposed by using basis-dependent Lyapunov function. F：inally, a numerical example is given to illustrate the eftectivcness of the proposed method