离散时间T-S模糊系统的新型状态反馈控制设计  

Novel state feedback control design of discrete-time T-S fuzzy systems

作　　者：赵成龙[1] 薛欣[2] 张友[3] 

机构地区：[1]泰山职业技术学院,山东泰安271000 [2]泰山学院数学与统计学院,山东泰安271021 [3]东北师范大学计算机科学与信息技术学院,吉林长春130117

出　　处：《东北师大学报（自然科学版）》2015年第3期72-77,共6页Journal of Northeast Normal University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(21127010)

摘　　要：针对离散时间T-S模糊系统的控制设计问题,设计了一种新型的非-PDC型模糊状态反馈控制器.在模糊状态反馈控制器设计过程中,采用了一种全新的模糊李亚普诺夫函数和一种新颖的松弛变量技术,可以为状态反馈控制设计引入更多的自由度,因此可以获得比以往结果保守性更小的模糊镇定控制条件.特别是以线性矩阵不等式形式给出的模糊镇定控制条件可以很方便地利用Matlab工具箱来进行求解.最后,使用一个经典的仿真算例验证了所得结果的有效性.A new kind of non-PDC fuzzy state feedback controller has been proposed for dealing with the problem of control synthesis of the discrete-time Takagi-Sugeno fuzzy systems. Both a new fuzzy Lyapunov function and a novel slack variable technique have been developed in the process of fuzzy state feedback control designs. Since more freedom is introduced in virtue of the above measures, the obtained stabilization conditions are less conservative than existing ones. In particular, the underlying fuzzy stabilization conditions proposed in this paper are in terms of linear matrix inequality which is easy to be solved by using the Matlab tools. Finally,a classical numerical example is also provided to illustrate the effectiveness of the proposed results.

关 键 词：离散时间系统 状态反馈 T-S模糊模型 松弛变量技术 线性矩阵不等式 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]