[1]张恒艳,谢文博,赵阳,等.不确定T-S模糊系统的跟踪控制器设计[J].郑州大学学报(工学版),2016,37(02):15-19.[doi:10.3969/j.issn.1671-6833.201504057]
　Zhang Hengyan,Senior Zhongwen,Li Wenlong,et al.The Design of Tracking Controller for T-S Fuzzy Systems with Uncertainty[J].Journal of Zhengzhou University (Engineering Science),2016,37(02):15-19.[doi:10.3969/j.issn.1671-6833.201504057]
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不确定T-S模糊系统的跟踪控制器设计()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
37
期数:
2016年02期
页码:
15-19
栏目:
出版日期:
2016-04-18

文章信息/Info

Title:
The Design of Tracking Controller for T-S Fuzzy Systems with Uncertainty
作者:
张恒艳; 谢文博; 赵阳; 黄玲
哈尔滨理工大学自动化学院,黑龙江哈尔滨,150080
Author(s):
Zhang Hengyan; Senior Zhongwen;  Li Wenlong;  Song Weiwei;  Huang Ling
School of Automation, Harbin University of Science and Technology, Harbin, Heilongjiang, 150080 School 
关键词:
Keywords:
T-S fuzzy tracking system; uncertainty; H∞ tracking performance; linear matrix inequalities (LMI)
DOI:
10.3969/j.issn.1671-6833.201504057
文献标志码:
A
摘要:
研究基于观测器的不确定T-S模糊系统的跟踪控制器设计问题.利用T-S模糊方法对含有不确定性的非线性被控对象进行建模,对于给定代表系统期望状态的参考模型,在系统状态不可测及不确定项满足有界条件下,利用并行分布补偿的方法(parallel distributed compensation)设计基于观测器的模糊控制器,保证对于参考模型状态的跟踪,同时抑制扰动对跟踪误差的影响.借助Lyapunov稳定性定理及舒尔补引理将跟踪控制器的设计问题转化为一组线性矩阵不等式(linear matrix inequality)的可行解问题.该方法简单实用,仿真实例验证了此种方法的有效性与正确性.
Abstract:
The tracking controller design problem of observer-based uncertain TS fuzzy system is studied. Using TS fuzzy method to model the nonlinear controlled object with uncertainty, for a given reference model representing the expected state of the system, in the system state Under the condition that the unmeasurable and uncertain items meet the bounded conditions, the parallel distributed compensation method (parallel distributed compensation) is used to design the fuzzy controller based on the observer to ensure the tracking of the reference model state and suppress the influence of disturbance on the tracking error. The Lyapunov stability theorem and Schull’s complement lemma transform the design problem of the tracking controller into a feasible solution problem of a set of linear matrix inequalities. This method is simple and practical, and the simulation examples have verified the effectiveness and correctness.

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