Equivalence between Fuzzy PID Controllers and Conventional PID Controllers
Equivalence between Fuzzy PID Controllers and Conventional PID Controllers
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DOI：
10.3390/app7060513
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发表时间：
2017-06-01
影响因子：
2.7
通讯作者：
Wang, Chi-Jo
中科院分区：
文献类型：
--
作者：
Chao, Chun-Tang;Sutarna, Nana;Wang, Chi-Jo
提出了模糊比例积分导数(PID)控制器与常规PID控制器的等价性。该方法通过观察和定义控制器输入输出的作用范围，将设计良好的常规PID控制器快速转化为等价的模糊逻辑控制器(FLC)。此外，所提出的等效模糊PID控制器的知识库被表示为立方模糊联想记忆(FAM)，而不是大多数研究中的PD型和PI型模糊控制器的组合。仿真结果表明，该方法在连续时间和离散时间下都是可行的。由于传统的线性PID控制器的设计技术已经成熟，可以作为非线性模糊控制器设计的初步专家知识。基于所提出的等价关系，设计者可以进一步调整控制规则中模糊变量的隶属函数，以显示模糊控制器的非线性，并以有效的方式产生更令人满意的系统响应。
This paper proposes the equivalence between fuzzy Proportional-Integral-Derivative (PID) controllers and conventional PID controllers. A well-designed conventional PID controller, with the help of the proposed method, can be rapidly transformed to an equivalent fuzzy logic controller (FLC) by observing and defining the operating ranges of the input/output of the controller. Furthermore, the knowledge base of the proposed equivalent fuzzy PID controller is represented as a cube fuzzy associative memory (FAM), instead of a combination of PD-type and PI-type FLCs in most research. Simulation results show the feasibility of the proposed technique, both in continuous and discrete time. Since the design techniques of conventional linear PID controllers have matured, they can act as preliminary expert knowledge for nonlinear FLCs designs. Based on the proposed equivalence relationship, the designer can further tune the membership functions of fuzzy variables in the control rules to exhibit the nonlinearity of a FLC and yield more satisfactory system responses in an efficient way.