Abstract: An integrated batch-to-batch and within batch optimization approach was proposed for real-time optimization of uncertain batch processes. Firstly, the structural information of optimal input trajectory was obtained by optimizing the nominal model, then the whole trajectory was parametrized as scalar variables and sub-trajectories. For the active terminal constraints in the necessary conditions of optimality, the batch-to-batch optimizing approach was taken to satisfy constraint condition. For the sensitivity part, which contained unknown disturbances that entered the optimal feedback, a regression approach was proposed to approximate the optimal input using measurements, hence within batch optimization could be realized. The effectiveness of the proposed integrated optimization approach was verified through the study of a batch reactor.

Key words: process control, batch process, optimization, output feedback, system engineering

摘要： 针对不确定性间歇过程的实时优化问题，提出了一种集成批间和批内优化的新实时优化控制方法。首先求解标称模型得到最优输入轨迹的结构，然后将输入轨迹参数化为若干标量决策变量及子输入轨迹。对最优性条件中的终端约束部分，使用批间优化满足约束条件；对梯度轨迹部分，提出一种回归法近似最优输入轨迹，以解决不确定扰动的在线不可测问题，实现梯度轨迹的批内优化。对一个间歇反应器的仿真研究表明了新方法的有效性。

关键词: 过程控制, 间歇过程, 优化, 输出反馈, 系统工程