论文标题
线性数据驱动的经济MPC具有广义终端约束
Linear Data-Driven Economic MPC with Generalized Terminal Constraint
论文作者
论文摘要
在本文中，我们提出了一个具有广义终端约束的数据驱动的经济模型预测控制（EMPC）方案，以控制未知的线性时间不变系统。我们的方案基于基本的引理，以使用持续令人兴奋的输入输出轨迹来预测未来的系统轨迹。控制目标是最大程度地减少经济成本目标。通过使用具有人工平衡的广义末端约束，该方案不需要先验了解最佳平衡。我们证明，闭环系统的渐近平均性能可以任意接近最佳平衡。此外，我们将结果扩展到未知的线性阶段成本函数的情况下，基本的引理用于直接预测阶段成本。提出的方案的有效性由数值示例显示。
In this paper, we propose a data-driven economic model predictive control (EMPC) scheme with generalized terminal constraint to control an unknown linear time-invariant system. Our scheme is based on the Fundamental Lemma to predict future system trajectories using a persistently exciting input-output trajectory. The control objective is to minimize an economic cost objective. By employing a generalized terminal constraint with artificial equilibrium, the scheme does not require prior knowledge of the optimal equilibrium. We prove that the asymptotic average performance of the closed-loop system can be made arbitrarily close to that of the optimal equilibrium. Moreover, we extend our results to the case of an unknown linear stage cost function, where the Fundamental lemma is used to predict the stage cost directly. The effectiveness of the proposed scheme is shown by a numerical example.
