[讨论] 两种真正实用的自动控制技术：PID、模糊控制

   民间传说：

   控制对象简单，用线性PID；被控对象复杂多变，用模糊控制。

   这是两种实际应用中表现可靠的控制技术。

   例如，在过程控制中，95%的控制回路都是PID型。PID 是英文 proportional – integral - derivative 的缩写。

欢迎您的讨论！

参考资料：

[1] Erlangen program. Encyclopedia of Mathematics [M]. 

https://www.encyclopediaofmath.org/index.php/Erlangen_program

[2] Zhao C 赵成, Guo L 郭雷. PID controller design for second order nonlinear uncertain systems [J]. SCIENCE CHINA Information Sciences, 2017, 60(2): 022201, doi: 10.1007/s11432-016-0879-3

http://engine.scichina.com/publisher/scp/journal/SCIS/60/2/10.1007/s11432-016-0879-3?slug=abstract

[3] 刘普寅, 吴孟达. 模糊理论及其应用[M]. 长沙: 国防科技大学出版社, 1998

Fuzzy theory and its application[M]. Changsha, China: National University of Defense Technology Press, 1998

[4] PID Control, proportional – integral - derivative

16.06 Principles of Automatic Control, Lecture 10

https://ocw.mit.edu/courses/aeronautics-and-astronautics/16-06-principles-of-automatic-control-fall-2012/lecture-notes/MIT16_06F12_Lecture_10.pdf

[5] 王立新，2016-01-22，PK系列之二：朱豫才 PK 王立新 –– 读经典，学正道，拒无知

http://blog.sciencenet.cn/blog-2999994-951834.html

   模糊系统研究是一个备受打压的领域，在美国已经死去。Zadeh去年第二次中风，可能活不了多久了，Bezdek, Keller等早已退休，我的导师Mendel也将在明年退休，在美国主要高校的模糊研究力量将会彻底消失。Mendel前年来北京时跟我说过，他和Zadeh讨论过fuzzy在美国已死的问题，Zadeh的回答是：fuzzy会在世界其它地方生存下来。听到恩师如此之悲壮，我心里真的好难过。

[6] Jianqing Fan and Qiwei Yao, Nonlinear Time Series: Nonparametric and Parametric Methods[M], Springer-Verlag, New York (2003).

https://orfe.princeton.edu/~jqfan/fan/nls.html

https://orfe.princeton.edu/~jqfan/publications-general.html

   page 448,  10.1.5 Nonlinear versus Linear Prediction

   But empirical studies indicate that linear methods often work well despite their simplicity, and the gain from nonlinear prediction is not always significant and sometimes is not even guaranteed; see §3.4.1 of Chatfield (2001) and the references therein. Although we should not take numerical comparisons on faith (see, §6.6.3 of Chan and Tong 2001), the robust performance of linear forecasting methods is undeniable. Since this issue has rarely been addressed explicitly in the literature, we provide an explanation below.

相关链接：

[1] 2019-09-22，模糊数学：扎德“解模糊”、卡尔曼“模糊化”（博文网页汇集）

http://blog.sciencenet.cn/blog-107667-1199064.html

[2] 2017-09-09，沉痛悼念模糊理论创始人拉特飞‧扎德（Lotfi A. Zadeh）先生

http://blog.sciencenet.cn/blog-107667-1075044.html

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