In this paper performance indices for economic model predictive controllers (MPC) are considered. Since existing relative performance measures, designed for stabilizing controllers, fail in the economic setting, we propose alternative absolute quantities. We show that these can be applied to assess the performance of the closed loop trajectories on-line while the controller is running. The advantages of our approach are demonstrated by simulations involving a convection-diffusion-system. The method is also combined with proper orthogonal decomposition, thus demonstrating the possibility for both efficient and performant MPC for systems governed by partial differential equations.

中文翻译：

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经济模型预测控制的性能估计及其在适当的基于正交分解的实现中的应用

在本文中，考虑了经济模型预测控制器 (MPC) 的性能指标。由于现有的为稳定控制器而设计的相对性能指标在经济环境中失败，我们提出了替代的绝对数量。我们表明，这些可用于在控制器运行时在线评估闭环轨迹的性能。我们方法的优点通过涉及对流扩散系统的模拟得到证明。该方法还与适当的正交分解相结合，从而证明了对偏微分方程控制的系统进行高效和高性能 MPC 的可能性。