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为了克服传统的预测控制在线计算量大、对模型要求高和灵活性差的缺点,使其更加适应于现代流程工业的过程控制,将分数阶PID(FOPID)算法和第三代预测控制算法预测函数算法(PFC)相结合,利用FOPID去改进PFC的性能指标函数,推导出了一种改进型的具有5个可调参数的预测函数算法。通过仿真和实时以太网(EPA)实验装置对改进型预测函数算法进行研究,结果表明该算法克服了PFC稳态性能差,对模型要求高和FOPID震荡周期长的缺点,具有静态误差小、上升速度快、超调小、调节时间短和鲁棒性强等优点。同时该算法与传统预测控制器结构类似,便于广大工程人员设计者实现。
In order to overcome the shortcomings of traditional predictive control, such as large amount of online computation, high requirement for model and poor flexibility, it is more suitable for the process control of modern process industry. Fractional PID (FOPID) algorithm and the third generation predictive control algorithm prediction function Algorithm (PFC), using FOPID to improve the PFC performance index function, an improved predictive function algorithm with five adjustable parameters is deduced. The simulation algorithm and real-time Ethernet (EPA) experimental apparatus are used to study the improved prediction function algorithm. The results show that the algorithm overcomes the shortcomings of poor PFC steady state performance, high requirement on the model and long oscillation period of the FOPID. The algorithm has the advantages of small static error, Fast, small overshoot, short adjustment time and strong robustness. At the same time, the algorithm is similar to the traditional predictive controller, which is convenient for the majority of engineers to achieve.