基于特征线法的双曲型分布参数模型预测控制及其应用

Characteristic-line-based model predictive control for hyperbolic distributed parameter systems and its application

中文关键词  分布参数控制系统  模型预测控制  特征线法  烟气脱硫

英文关键词  distributed parameter control systems  model predictive control  method of characteristics line  flue gas desulfurization

中文摘要

      本文针对双曲型分布参数系统提出基于特征线法的模型预测控制算法. 通过特征线变换将描述分布参数模型的偏微分方程转化为常微分方程; 进而求解得到分布参数系统状态变量的解析式; 离散化后作为预测模型用于模型预测控制. 以循环流化床烟气脱硫系统中SO2浓度控制为例, 进行仿真研究, 结果表明基于特征线法的模型预测控制算法可以实现对双曲型分布参数系统的有效控制, 并且该算法的控制效果优于目前工程应用的前馈反馈 控制策略.

英文摘要

      A novel model predictive control (MPC) scheme is proposed for a class of hyperbolic distributed parameter systems. By using the characteristics line method, we transform the partial differential equation (PDE) of the hyperbolic distributed-parameter system to an equivalent ordinary differential equation (ODE) along the characteristic line. The obtained ODE can be integrated analytically to give the solution to the original PDE. The analytical expression of this solution is discretized to produce the predictive model for developing the off-line MPC control law. Simulation results of the control system for the output SO2 concentration in a circulating fluidized bed of a flue gas desulfurization system indicate that the characteristic-line-based MPC scheme can be applied to control hyperbolic distributed parameter systems for obtaining better performance in setpoint tracking and disturbance rejection than the feedforward-feedback control scheme which is widely applied to the engineering fields.