基于模糊模型切换系统的稳定性研究  

Stability of Switched Systems Based on Fuzzy Model

作　　者：赵娜[1] 陈秀琴[1] 熊建栋 

机构地区：[1]信阳职业技术学院,河南信阳464000 [2]河南师范大学,河南新乡453000

出　　处：《河北北方学院学报（自然科学版）》2017年第3期12-15,21,共5页Journal of Hebei North University:Natural Science Edition

基　　金：河南师范大学博士启动基金项目(qd13038);河南省科技攻关项目(162102210265)

摘　　要：目的在切换系统的运行过程中,时常会受到外界因素的干扰,从而导致系统切换过程中出现各种问题和纰漏,不能最大程度保障系统运行的稳定和高效。通过仿真研究进一步探讨基于模糊模型的切换系统是否稳定。方法使用模糊模型的方法对切换系统的稳定性进行各个层次的调查和研究。首先把切换系统转换为T-S模糊模型,因为T-S模糊模型具有非线性性;结合变量—梯度法的使用,对该系统在原点的小领域里面能够保持稳定的环境和条件进行研究实验,并且获得模糊切换策略。结果对于给定的模糊模型的线性切换系统,通过适当的切换策略使得系统在原点的小邻域内可以保持稳定状态。结论通过系统仿真,证实了模型切换系统不仅操作简便,而且结果较为准确,能够最大程度上保障系统运行的稳定和高效,并使之前已经决定好的切换策略按照切换系统精确按时执行。Objective In the process of switched system operation,the system is often interfered with external factors,resulting in various problems and flaws in the system switching and failing to maximize stability and efficiency of the system.The simulation study further explored the stability of the switch system based on fuzzy model.Methods By using the method of fuzzy model,all levels of the stability of the switched systems were studied.Before the study,the switch system was converted into a T-S fuzzy model,for the T-S fuzzy module had nonlinearity;in combination with the use of variable gradient method,it determined the environment and condition in which the system at the origin of small area could keep stable,and obtained the fuzzy switching strategy.Results For a given fuzzy model of linear switched system,the proper switching strategy enabled the system to remain stable in a small neighborhood of the origin.Conclusion The system simulation confirms that the model switching system can be operated easily and accurately;it ensures the stability and efficiency of operation system to the largest extent;and it leads the planned switched strategy to be precisely implemented according to the switched system.

关 键 词：T-S模糊模型 切换系统 切换策略 稳定 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]