一种改进的多变量动态矩阵控制算法及应用

An Improved Multivariable PID Dynamic Matrix Control Algorithm and its Application

为克服重油催化裂化分馏塔控制中存在的满足镇定设计的同时,难以优化系统性能的不足。以PID和DMC(Dynamic Matrix Control)为基础,提出一种新型多变量PIDDMC算法。该算法兼具PID结构简单、参数方便调节,和DMC滚动优化、鲁棒性强的特点。利用Lyapunov稳定性理论证明了该算法可保证系统闭环稳定。以Shell公司重油催化裂化分馏塔为控制对象,仿真验证了该算法克服了PID超调量大,过程输出耦合严重,及DMC绝对误差积分值大的缺点。在模型匹配及模型失配情况下,都具有静态误差小、超调小、调节时间短和鲁棒性强等优点,对多变量过程具有良好的控制效果。

A multivariable PIDDMC algorithm, based on PID and DMC control, is provided in order to overcome the shortcoming of not optimizing system performance when the design of stabilization is satisfied in resid fluid catalytic cracking unit （ RFCCU ） fractionator. This algorithm has such advantages as simple structure, convenient parameter adjustment of PID and rolling optimization, strong robustness of DMC. According to Lyapunov theory of stability, this algorithm is proved to be close-loop stable. RFCCU fractionator, proposed by Royal Dutch/Shell Group, is the control target. And simulations prove that this algorithm overcomes some drawbacks of PID as large overshoot and severe coupling and some drawbacks of DMC as larger integral of absolute error, and that it has the advantages of less steady-state errors, smaller overshoot, less adjusting time and stronger robustness with both model match and model mismatch. So it has excellent control performance to multivariable process.