基于模糊分数阶控制器的双容水箱液位控制  

Liquid Level Control of Double Tank Based on Fractional Order Fuzzy Controller

作　　者：闫哲[1] 王冬爽 YAN Zhe;WANG Dong-shuang(College of Automation,Harbin University of Science and Technology,Harbin Heilongjiang 150080,China)

机构地区：[1]哈尔滨理工大学,黑龙江哈尔滨150080

出　　处：《计算机仿真》2020年第10期212-216,234,共6页Computer Simulation

摘　　要：由于液位控制过程中存在的时变、非线性等特点,为提高控制性能,充分应用模糊理论与分数阶理论,根据外界情况的变化,经过模糊推理,实现分数阶控制器参数的实时调整,设计了一种模糊分数阶PIλ控制器。采用PCT-1型双容水箱实验平台模拟工业上的液位控制,并对其进行建模,根据模糊理论确定隶属度函数与推理规则,结合分数阶相关理论设计出控制器。最后,利用MATLAB工具对模糊分数阶PIλ控制器和传统PI控制器进行仿真比较。结果表明,与传统PI控制器相比,应用模糊分数阶PIλ控制器可以降低系统超调量、缩短调整时间。具有更好的控制性能,能够消除由工作环境与系统参数的改变产生的影响,并提高精确程度。Due to the time-varying and nonlinear characteristics in the liquid level control process, in order to improve the control performance, this paper fully applies the fuzzy theory and fractional order theory, and realizes the real-time adjustment of the parameters of the fractional order controller through fuzzy reasoning according to the change of external conditions. A fuzzy fractional order PI~λ controller was designed. The PCT-1 double-capacity tank experimental platform was used to simulate the liquid level control in the industry, and the controller was modeled. According to the fuzzy theory, the membership function and the inference rule were combined with the fractional correlation theory to design the controller. Finally, the MATLAB tool was used to simulate the fuzzy fractional order PI~λ controller and the traditional PI controller. The results show that compared with the traditional PI controller, the application of fuzzy fractional order PI~λ controller can reduce the system overshoot and shorten the adjustment time. With better control performance, the impact caused by changes in the working environment and system parameters can be eliminated to improve the accuracy.

关 键 词：液位控制系统 模糊控制 分数阶 数值仿真 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]