基于模糊双线性模型的连续搅拌反应釜滑模控制

Sliding Mode Control for Continuous Stirred Tank Reactor Based onTakagi-Sugeno Fuzzy Bilinear Models

摘要:

主要对连续搅拌反应釜系统(CSTR)的滑模控制问题进行研究。该系统的模型可由Takagi-Sugeno(T-S)模糊双线性模型进行描述,基于该模糊双线性模型,给出滑模控制方法。在之前学者的研究成果上对线性滑模面进行改进,构造积分滑模面,由此设计出的等效控制量与切换控制量,可以保证系统的控制精度。通过对其进行稳定性研究,得到全局稳定的充分条件,并求出滑模面的控制器参数；同时,构造七条模糊规则,采用模糊化方法对切换增益项进行模糊推理,使整体控制量平滑化,也避免系统状态出现抖振现象,实现实际可操作性。最后,连续搅拌反应釜的仿真验证了控制方法的有效性。

Abstract:

The sliding mode control of continuous stirred reactor system(CSTR) is studied. The model of the system can be described by the Takagi-Sugeno(T-S) fuzzy bilinear model. Based on the fuzzy bilinear model, the sliding mode control method is given. The linear sliding mode surface is improved on the previous research results of scholars, and the integral sliding mode surface is constructed. The equivalent control quantity and switching control quantity designed by this method can ensure the control accuracy of the system. By studying its stability, the sufficient conditions of global stability are obtained, and the controller parameters of the sliding surface are obtained. At the same time, seven fuzzy rules are constructed, and fuzzy inference is made to the switching gain term by using fuzzy method, so that the overall control is smoothed, and chattering phenomenon is avoided in the system state, so that the actual operation is realized. Finally, the simulation results of continuous stirred reactor demonstrate the effectiveness of the control method.