This article deals with an improved scheme of tube‐based robust economic model predictive control (TEMPC). The controller is robust to unknown but bounded disturbances where guarantees recursive feasibility, robust stability, and convergence to the economically optimal operating point. Time‐varying economic criteria are considered in the stage cost function of the control design. Initial states of the nominal—nondisturbed—system are considered as decision variables. It lets the controller know more information about the real—disturbance affected—system to take advantage of the recursive horizon approach. It also increases the control degree of freedom and enlarges the region of attraction. Making the closed‐loop system work at the economically optimal operating point contradicts with the economic behavior. A convex optimization problem is represented to keep the economic performance from degradation as much as possible. It modifies the control optimization problem to economic optimally guarantee the closed‐loop robust stability, which is called practical stability. It is shown that more economic behavior could be achieved under some conditions by relaxing the stability but maintaining the recursive feasibility guarantee, which is called relaxed stability. To show the efficiency of the proposed method, it is applied to the building energy management of smart grid. A commercial microgrid with battery energy storage dynamics and refrigeration dynamics of a supermarket are considered as a smart building system where the time‐varying electricity price of the main grid is considered in the objective function. The results show valuable achievements in the TEMPC economic performance.

中文翻译：

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具有实用和宽松稳定性保证的基于管的鲁棒经济模型预测控制及其在智能电网中的应用

本文讨论了基于管的鲁棒经济模型预测控制（TEMPC）的改进方案。该控制器对未知但有界的干扰具有鲁棒性，可确保递归的可行性，鲁棒的稳定性以及收敛到经济上最佳的工作点。控制设计的阶段成本函数考虑了时变经济标准。标称系统（不受干扰）的初始状态被视为决策变量。它可以使控制器了解有关实际（受干扰影响）系统的更多信息，以利用递归地域方法。它还增加了控制自由度并扩大了吸引力区域。使闭环系统在最佳经济运行点工作与经济行为相矛盾。提出了一个凸优化问题，以尽可能地防止经济性能下降。它修改了控制优化问题，以经济上最优地确保闭环鲁棒稳定性，这称为实际稳定性。结果表明，在一定条件下，通过放宽稳定性但保持递归可行性保证可以实现更多的经济行为，这称为放宽稳定性。为了证明所提方法的有效性，将其应用于智能电网的建筑能源管理。具有电池储能动态和超市制冷动态的商用微电网被视为一种智能建筑系统，其中在目标函数中考虑了主电网的时变电价。