区间二型随机模糊系统的控制设计

Control Design for Interval Type-2 Stochastic Fuzzy Systems

研究了一类基于T-S模型的带有多维纳过程的区间二型随机模糊系统的稳定性问题。旨在设计一个状态反馈控制器,使得闭环系统随机渐近稳定。利用随机李雅普诺夫方法,建立了系统随机稳定的充分条件。引入Kronecker积,简化了结果的形式。最后通过仿真图形验证了所设计方法的有效性。

This paper considers the stabilization problem of a class of T-S model based interval type-2 stochastic fuzzy systems . The system contains multidimensional Wiener process . A desired controller is designed to make sure that the system is stochastically asymptotically stable . Sufficiency conditions of stochastic stability for the system are established by using a stochastic Lyapunov approach .Kronecker product can be introduced to simplify the form of matrix inequalities .Finally, a simulation example is given to illustrate the effectiveness of the proposed method .