论文标题

通过参数变化的存储功能的融合经济模型预测性控制范围

Convergent Economic Model Predictive Control through parameter-varying storage functions for dissipativity

论文作者

Dong, Zihang, Angeli, David, Strbac, Goran

论文摘要

本文提出了一个新的控制耗散性的概念,作为在经济模型预测控制(EMPC)框架下具有与参数变化的存储功能的标准耗散性属性的扩展。基于此概念,配制了将存储函数参数作为决策变量集成的两个EMPC控制器,并确保了将存储函数参数作为决策变量进行制定,并确保了相关的递归可行性。然后,通过以渐近性能将其交易来实现,而无需标准耗散性假设而无需标准的耗散性假设而在不需要标准的耗散性假设的情况下,渐近收敛性的渐近平衡。还评估了渐近平均闭环性能的上限。最后,提供了一个使用EMPC控制器具有末端平衡或末端区域条件的说明性示例,以显示我们方法的有效性。

This paper presents a new concept of controlled dissipativity as an extension of the standard dissipativity property to systems with parameter-varying storage functions under the framework of economic model predictive control (EMPC). Based on this concept, two EMPC controllers, integrated with the dissipation inequality constraints rendering the storage function parameters as decision variables, are formulated and the associated recursive feasibility is ensured. Then, the asymptotic convergence to an optimal equilibrium in closed-loop, without requiring the standard dissipativity assumption, is enforced by trading it off with asymptotic performance. The upper bound of asymptotic average closed-loop performance is also evaluated. Finally, an illustrative example by using the EMPC controllers with terminal equilibrium or terminal region conditions is provided to show the effectiveness of our methods.

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