By Topic

Monotone fuzzy control method and its control performance

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$31 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

2 Author(s)
Hailiang Zhao ; Intelligent Control Dev. Center, Southwest Jiaotong Univ., Sichuan, China ; Changqian Zhu

For most process controls the relation between the input and the output is of monotonicity. So a question immediately arises as follows: For two precise inputs, say x⩽y, can the fuzzy control method guarantee the corresponding crisp outputs preserving the same inequality? Or whether or not the fuzzy control method is of monotone? In this paper, we will focus on the problems mentioned above. Therefore, some new concepts about this topic are proposed, such as the monotone and the rough monotone control algorithm, the monotone rule base and the monotone smooth transition system model, etc. Analysis shows that as long as the rule base is monotone, the single-input single-output conventional Mamdani fuzzy control algorithm (CMFCA for short) is monotone and the two-input single-output CMFCA is rough monotone. Finally, a sufficient condition for monotonicity of the CMFCA is obtained, i.e. if the rule base is monotonic and the universes is partitioned by isosceles triangle fuzzy numbers with base point single resonating, then the two-input single-output conventional Mamdani algorithm is of monotone

Published in:

Systems, Man, and Cybernetics, 2000 IEEE International Conference on  (Volume:5 )

Date of Conference: