基于Simulink变论域算法仿真技术研究

Research on Simulation Technology of Variable Universe Algorithm Based on Simulink

针对目前通过Simulink模糊控制工具箱对变论域模糊控制算法仿真缺少理论支撑的现象,利用模糊数学理论,推导出变论域模糊控制插值函数,并对此插值函数分析得出:将伸缩因子的作用对象向输入输出移动而保持论域固定可等效实现变论域算法。为验证理论,以单相逆变电源为例,在Simulink中搭建变论域模糊控制+PID算法仿真模型。实验结果表明其具有良好控制效果,为借Simulink模糊控制工具箱仿真变论域模糊控制算法提供了理论依据和方法,验证了上述理论研究和结论。

In view of the lack of theoretical support for the simulation of variable universe fuzzy control algorithms with the Simulink fuzzy control toolbox, this paper used fuzzy mathematical theory to derive the interpolation function of the variable universe fuzzy control algorithm and analyzed this interpolation function. It is concluded that moving the action object of the scaling factor to the input and output and keeping the universe fixed can equivalent realize the variable universe algorithm. In order to verify the theory, taking the single-phase inverter as an example, the simulation model of variable universe fuzzy control+PID algorithm was built on Simulink. The experimental results show that it has good control effect, provides a theoretical basis and method for simulating variable universe fuzzy control algorithm with Simulink fuzzy control toolbox, and verifies the above theoretical research and conclusions.