Parameter Design Method for Interval Type-2 Fuzzy PD Controller
(1.School of Data Science and Information Engineering, Guizhou Minzu University, Guiyang 550025, China; 2.School of Physics and Mechatronic Engineering, Guizhou Minzu University, Guiyang 550025, China; 3.School of Information Science and Technology, Baotou Teachers' College, Baotou 014030, China)
Abstract
The Interval Type-2 Fuzzy PD controller can effectively overcome the impact of system uncertainty, because the width of FOU in the Interval Type-2 Fuzzy system can affect the performance of the controller. Traditionally, the width of the FOU is determined based on human experience, but its design difficulty will increase with the increase of input function. Therefore, a method utilizing Genetic Algorithm to design the FOU width is proposed. The Integrated Time Absolute Error and the sum of overshoot are selected to construct the objective function, and the optimal FOU width corresponding to the minimum objective function value is obtained through the continuous iterative optimization of the algorithm. In order to evaluate the effectiveness of the proposed algorithm, it is compared with the traditional PID controller and the conventional Interval Type-2 Fuzzy PD controller in two typical conditions. Experiments show that the proposed optimization strategy has faster adjustment time and smaller steady-state error.
Keywords
Interval Type-2 Fuzzy; FOU; Genetic Algorithm; PD
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Funding
Inner Mongolia Natural Science Foundation (2022MS06010); Basic Research Project of Guizhou Province (Qiankehe Foundation ZK [2023] General)
About the authors
He Xiaofei (1997-), male, Miao ethnicity, from Tongren, Guizhou, is currently pursuing a master's degree in statistical modeling and pattern recognition; Corresponding author: Yang Shengyi (1986-), male, Buyi ethnic group, from Qiannan, Guizhou, professor, PhD, research direction: overall design of unmanned aerial vehicles, autonomous control and decision-making, environmental perception and target recognition.