耦合前馈控制策略的明渠线性最优控制方法

针对线性最优控制算法无法根据分水变化信息提前制定调控策略的问题，本文基于明渠简化积分时滞模型提出了计划分水情况下的前馈策略和耦合此策略的线性最优控制方法。将方法应用于由南水北调中线干线工程的最后6段明渠组成的案例渠池的仿真模型中对方法有效性进行分析，研究结果表明方法中的前馈策略能在仅引起较小水位变幅的情况下快速调整节制闸流量到合理范围，且方法中的最优反馈控制能合理地逐步消除水位偏差。相比于单独使用线性最优控制算法，此方法能达到提前并快速进行流量响应，达到缩小由于流量不平衡引起的水位偏差的效果。

Study on linear optimal control method of open canal flows coupled with feedforward control strategy

Aimed at the drawback of a linear optimal control algorithm failing to formulate a control strategy in advance based on water diversion information, this paper describes a feedforward strategy for planned water distribution and a linear optimal control method coupled with this strategy based on a simplified integral delay model of canal flows. We apply the method to the simulations of a canal, i.e., the last 6 pools of the middle route of South-to-North Water Diversion Project. The results show that under the strategy the flows under the controlling gates can be quickly adjusted to a reasonable range causing small water level fluctuations only, and the feedback control method achieves a reasonable gradual elimination of water level deviations. Compared with using a linear optimal control algorithm alone, this method can responds to the flow in advance and more quickly and reduce more effectively water level deviations caused by flow imbalance.