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Economic MPC-LPV Control for the Operational Management of Water Distribution Networks

机译：经济MPC-LPV控制水分配网络运营管理

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This paper presents an Economic Model Predictive Control (EMPC) for the operational man- agement of water distribution networks (WDNs) with periodic operation based on embedding the nonlinearity of the model to the Linear Parameter Varying (LPV) model of WDNs. The performance of the WDN is identified by a set of difference-algebraic equations while the relation of hydraulic head/pressure and flow in connected pipes is nonlinear. In particular, the WDN model consists of two sections of nonlinear algebraic equations for bidirectional and umnidirectional flows in pipes, respectively. The proposed algorithm is embedded the nonlinear algebraic equations into the LPV model. The proposed control approach allows the controller to accommodate the scheduling parameters. By computing the prediction of the state variables along a prediction time horizon, the system model can be modifed according to the evaluation of the estimated state at each time instant. This iterative approach improves the implementation efficiency and reduces the computational burden compared to the solution of a non-linear optimization problem. Finally, the proposed strategy is applied to a well-known benchmark of the Richmond WDN. The closed-loop simulation results are shown and compared with other approaches by using several key performance indices.
机译：本文提出了一种经济模型预测控制（EMPC），用于分配网络（WDNS）的运行管理，基于将模型的非线性嵌入到WDN的线性参数变化（LPV）模型的定期操作。 WDN的性能由一组差异 - 代数方程识别，而液压头/压力和连接管中的流动的关系是非线性的。特别地，WDN模型包括分别在管道中的双向和umnidirectional流程的两部分非线性代数方程。该算法将非线性代数方程嵌入到LPV模型中。所提出的控制方法允许控制器适应调度参数。通过计算沿着预测时间范围的状态变量的预测，可以根据每次瞬时进行估计状态的评估来修改系统模型。与非线性优化问题的解决方案相比，这种迭代方法提高了实现效率并降低了计算负担。最后，拟议的策略适用于里士满WDN的知名基准。通过使用多个关键性能指标，显示并与其他方法进行了显示并与其他方法进行了显示。

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