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一类区间二型模糊PI控制器设计算法
引用本文:施建中,李荣,杨勇.一类区间二型模糊PI控制器设计算法[J].智能系统学报,2018,13(5):836-842.
作者姓名:施建中  李荣  杨勇
作者单位:南京工程学院 能源与动力工程学院, 江苏 南京 211167
摘    要:区间二型模糊控制器在处理不确定性方面优于传统的模糊控制器,但带来的一个问题就是区间二型模糊控制器需要降阶过程。常用的KM等迭代式降阶算法效率低下,难以用于实时性较高的场合。本文利用直接降阶算法和动态解模糊化算法,提出了一类区间二型模糊PI控制器设计算法。该算法在降阶过程中考虑偏差和偏差变化量对控制器输出的影响,避免了KM等迭代式降阶过程。通过二阶迟延对象以及一个非线性对象的仿真实验表明,本文算法能够有效降低系统超调,降低系统的稳态时间,控制器在设定值附近的输出更为平滑。

关 键 词:二型模糊集合  KM降阶  二型模糊控制  二型模糊PI  不确定域  动态解模糊化  直接降阶  增量式PI

An interval type 2 fuzzy PI controller design algorithm
SHI Jianzhong,LI Rong,YANG Yong.An interval type 2 fuzzy PI controller design algorithm[J].CAAL Transactions on Intelligent Systems,2018,13(5):836-842.
Authors:SHI Jianzhong  LI Rong  YANG Yong
Affiliation:School of Energy and Power Engineering, Nanjing Institute of Technology, Nanjing 211167, China
Abstract:The interval type-2 fuzzy controllers outperform their type-1 counterparts in processing uncertainty; however, the type-2 fuzzy controller needs to be reduced, and the commonly used iterative reduction algorithms such as Karnik-Mendel (KM) algorithm are inefficient and difficult to use in real-time situations. In this paper, an interval type-2 fuzzy PI controller algorithm that combines the dynamic defuzzification method and direct reduction algorithm is proposed. The algorithm considers the effects of error and error variation on the controller output during reduction, thus avoiding iterative reduction such as in KM. Simulations of a second-order delay object and nonlinear object show that the proposed algorithm can effectively suppress the system overshoot and reduce the time of the system to reach steady state; furthermore, the controller outputs around the set value are smoother.
Keywords:type-2 fuzzy sets  KM-type reduction  type-2 fuzzy control  type-2 fuzzy PI  uncertain domain  dynamic defuzzification  direct reduction  incremental PI
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