【摘要】 为解决常规比例积分微分(PID)控制作为燃气热水器温度控制器在恒温控制中的响应时间过长和超调量较大以及保温性能不足等问题，提出自适应灰色预测可拓控制算法。利用自适应灰色预测模型对模型参数不确定性、未知干扰以及滞后时间进行预测补偿，结合可拓控制算法的智能性实现给定燃气流量的控制。基于燃气热水器数学模型，利用MATLAB/Simulink进行建模仿真。通过对比PID和灰色预测可拓控制的仿真结果，发现自适应灰色预测可拓控制具有较好的控制效果。试验结果表明，自适应灰色预测可拓控制有效地提高了出水温度控制的稳定性，减少了温度调节时间和超调量，具有较强的抗干扰能力。更多还原

【Abstract】 In order to solve the problems of long response time and large overshoot as well as inadequate insulation performance of conventional proportional integral differential(PID) control as a temperature controller for gas water heaters in thermostatic control, an adaptive grey predictive topological control algorithm is proposed. The adaptive grey prediction model is used to compensate for model parameter uncertainty, unknown disturbances and lag time, combined with the intelligence of the topological control algorithm to achieve control of a given gas flow rate. Based on a mathematical model of the gas water heater, modelling simulations are carried out using MATLAB/Simulink. By comparing the simulation results of PID and grey predictive topological control, it is found that adaptive grey predictive topological control has a better control effect. The experimental results show that the adaptive grey predictive topological control effectively improves the stability of the water outlet temperature control, reduces the temperature adjustment time and the overshoot, and has a strong anti-interference capability.更多还原