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On Necessity and Robustness of Dissipativity in Economic Model Predictive Control

机译:论经济模型预测控制中耗散性的必要性和鲁棒性

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摘要

In this paper, we study a dissipativity property which was recently used in several results on economic model predictive control to ensure optimal operation of a system at steady-state as well as stability. In particular, we first investigate whether this dissipativity property is not only sufficient, but also necessary for optimal steady-state operation. In the most general case, this is not true; nevertheless, under an additional controllability assumption, we show that dissipativity is in fact necessary. Second, we provide a robustness analysis of the dissipativity property with respect to changes in the constraint set, which can result in a change in the considered supply rate.
机译:在本文中,我们研究了耗散特性,最近在经济模型预测控制的一些结果中使用了耗散特性,以确保系统在稳态和稳定性下均能最佳运行。特别是,我们首先研究这种耗散特性是否不仅足够,而且对于最佳稳态工作是否必要。在最一般的情况下,这是不正确的。但是,在其他可控性假设下,我们表明耗散实际上是必要的。其次,我们针对约束集的变化对耗散特性进行了鲁棒性分析,这可能导致所考虑的供给率发生变化。

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