Chu Yongzhi, Han Hasiaoqier, Ma Tianjiao, Zhu Mingchao, Li Zhongcan, Xu Zhenbang, Wu Qingwen
Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, No. 3888, Dong Nanhu Road, Changchun 130033, China.
Center of Materials Science and Optoelectronics Engineering, University of Chinese Academy of Sciences, Beijing 100049, China.
Sensors (Basel). 2023 Nov 9;23(22):9067. doi: 10.3390/s23229067.
This paper presents an interval type-2 fuzzy proportional-integral-derivative (IT2F-PID) controller that is designed using a new disassembled gradational optimization (D-GO) method. A PID controller is first optimized using the D-GO method and then connected to a type-1 fuzzy logic system (T1-FLS). The parameters of the T1-FLS are optimized, and the T1-FLS is blurred into the interval type-2 fuzzy logic system (IT2-FLS). Finally, the IT2F-PID controller is formed. The proposed method is compared with the concurrent and general optimization methods. The simulation results show that the D-GO method reduces the optimization time by over 90% compared with the general method, and decreases the integral-of-time-absolute-error (ITAE) by 30%. Beyond that, compared with the concurrent optimization method, the D-GO method reduces time by over 25%, and the ITAE value by about 95%. In the normal case, model uncertainty, target uncertainty, and external disturbance, the control ability of the IT2F-PID controller designed using the D-GO method is verified via simulations using a nonlinear forced closed-loop system. The results show that the overshoot is reduced by 80% and the fluctuation is reduced by 67% compared with a traditional PID controller and an IT2F-PID controller built using the general method.
本文提出了一种基于新型分解式梯度优化（D-GO）方法设计的区间二型模糊比例积分微分（IT2F-PID）控制器。首先使用D-GO方法对PID控制器进行优化，然后将其与一型模糊逻辑系统（T1-FLS）相连。对T1-FLS的参数进行优化，并将T1-FLS模糊化为区间二型模糊逻辑系统（IT2-FLS）。最后，形成IT2F-PID控制器。将所提方法与并行和常规优化方法进行比较。仿真结果表明，与常规方法相比，D-GO方法将优化时间减少了90%以上，并将时间绝对误差积分（ITAE）降低了30%。除此之外，与并行优化方法相比，D-GO方法将时间减少了25%以上，ITAE值降低了约95%。在正常情况下，针对模型不确定性、目标不确定性和外部干扰，通过使用非线性强制闭环系统进行仿真，验证了采用D-GO方法设计的IT2F-PID控制器的控制能力。结果表明，与传统PID控制器和采用常规方法构建的IT2F-PID控制器相比，超调量降低了80%，波动降低了67%。
