离散时间模糊控制系统的新型状态观测器设计  

Novel State Observer Design of Discrete-Time Fuzzy Control Systems

作　　者：王红[1] 吴险峰[1] 张友[2] 

机构地区：[1]齐齐哈尔大学理学院,黑龙江齐齐哈尔161006 [2]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：《数学的实践与认识》2015年第16期152-158,共7页Mathematics in Practice and Theory

基　　金：黑龙江省教育厅科学技术研究项目(12541876)

摘　　要：针对离散时间模糊控制系统的状态估计问题,设计出一种新颖的多时刻依赖型模糊状态观测器.与已有结果不同,所设计的模糊状态观测器设计不仅依赖于当前时刻的模糊隶属函数,还依赖于过去时刻的模糊隶属函数;这些特性为状态估计设计引入更多的自由度,可以得到保守性显著降低的模糊状态观测器.此外,针对衍生出多时刻模糊求和问题,还提出了一种新型松弛变量技术来进一步降低模糊状态估计问题的保守性.特别地,本文所设计的模糊观测器属于可求解的一组线性矩阵不等式,所以具有较好的可实现性.最后,通过一组仿真实验来验证本文结果的优越性.A new kind of multi-instant dependent fuzzy state observer has been proposed for dealing with the problem of state estimations of the discrete-time Takagi-Sugeno fuzzy control systems. The so-called multi-instant dependent fuzzy state observer is not only dependent on the current-time fuzzy membership functions but the past-time fuzzy membership functions. Since more freedom is introduced in virtue of the above measures, the obtained fuzzy state observer is less conservative than existing ones. Furthermore, a novel slack variable approach is developed for reducing the conservatism of the derived multi-instant fuzzy summation. In particular, the underlying observer design conditions are provided in terms of linear matrix inequality which is easy to be solved. Finally, a set of numerical experiments are also given to illustrate the effectiveness of the result given in this paper.

关 键 词：离散时间系统 状态估计 模糊系统 观测器设计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]