伊藤型随机系统的镇定

Stabilization for Ito Type Stochastic Systems

研究了一类伊藤型随机系统的镇定问题。首先利用区间二型模糊集合隶属函数的性质引进松弛矩阵,使得到的结果具有更低的保守性;其次,以线性矩阵不等式的形式给出了闭环系统稳定的充分条件,并设计了状态反馈控制器。最后,通过仿真实例验证了方法的可行性和有效性。

This paper deals with the stabilization problem for a class of Ito-type stochastic systems.Firstly,it introduces the slack matrices based on the properties of membership functions of interval type-2 fuzzy set,which leads to a less conservative result.Then,a sufficient condition of asymptotical stability is proposed in light of linear matrix ineqalities,and a feedback controller is designed.Finally,two simulation examples are given to illustrate the feasibilities and effectiveness of the proposed method.