Stability Analysis of General Takagi-Sugeno Fuzzy Two-Term Controllers
Stability Analysis of General Takagi-Sugeno Fuzzy Two-Term Controllers
复制标题
通用Takagi-Sugeno模糊二项控制器的稳定性分析
DOI：
10.1080/16168658.2018.1517974
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发表时间：
2018
期刊：
影响因子：
--
通讯作者：
B. Mohan
中科院分区：
文献类型：
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作者：
R. Raj;B. Mohan
本文研究一般的Takagi-Sugeno（TS）型模糊双项控制器。研究了一般模糊PI/PD控制器的解析结构和性质，并给出了一种改进的规则库。规则库包含三条规则，有效地减少了控制器的整定参数的数量。模糊两项控制器使用至少三个三角形或梯形的模糊集的每个输入变量，代数产品/最小的t-范数，有界和/最大的t-co-范数，和重心（CoG）去模糊化策略。提出了四种新的TS型模糊控制器模型。具有修改TS规则库的通用模糊PI/PD控制器类似于变增益（非线性）PI/PD控制器。增益在输入平面的不同区域中变化或保持恒定。研究了控制器增益的变化规律，并对任意一种模型下的闭环控制系统进行了稳定性分析。所提出的控制器的适用性示出的帮助下的例子。
ABSTRACT This paper deals with general fuzzy two-term controllers of Takagi-Sugeno (TS) type. Analytical structures and properties of general fuzzy PI/PD controllers are investigated with a modified rule base. The rule base contains three rules which effectively reduce the number of tuning parameters of the controllers. The fuzzy two-term controller uses at least three triangular or trapezoidal fuzzy sets on each input variable, algebraic product/minimum t-norm, bounded sum/maximum t-co-norm, and Centre of Gravity (CoG) defuzzification strategy. Four new models of TS type fuzzy controllers are proposed. The general fuzzy PI/PD controller with modified TS rule base is analogous to a variable gain (nonlinear) PI/PD controller. The gain either varies or remains constant in different regions of the input plane. The gain variations of the controller and the stability analysis of closed-loop control system with any one of the proposed models in the loop have been investigated. The applicability of the proposed controllers is shown with the help of examples.