加热炉差分进化分数阶MPC-PIPD温度控制研究

Study on Differential Evolution Fractional MPC-PIPD Temperature Control of Heating Furnace

针对加热炉温度控制系统干扰因素多、参数整定难的问题,提出一种基于模型预测控制和PID控制的稳定高效温度控制策略。首先,通过分数阶微积分原理建立加热炉模型,采用分数阶模型预测控制(MPC)方法对系统进行预测和滚动优化,以适应加热炉温度控制的非线性、大时滞性和时变性。其次,引入差分进化算法优化分数阶代价函数,以获得更好的系统响应。最终,应用PIPD控制结构以增强系统的稳定性和鲁棒性,并通过仿真验证了提出的控制策略的有效性。

Considering many interference factors of the heating furnace’s temperature control system and the difficulty in parameter tuning there,a stable and efficient temperature control strategy based on both model predictive control and PID control was proposed.Firstly,having the principle of fractional-order calculus based to establish heating furnace model;and then,having the fractional-order model predictive control(MPC)method adopted to predict and optimize the system to adapt to the nonlinearity,large time delay and time variation of the furnace temperature control,including having the differential evolution algorithm introduced to optimize the fractional-order cost function to obtain better system response;finally,having the PIPD control structure applied to enhance both stability and robustness of the system.The simulation experiment verified both effectiveness and excellent performance of the new control strategy.