论文标题
在离散时间混合构成最佳控制中的收费公路属性
Turnpike Properties in Discrete-Time Mixed-Integer Optimal Control
论文作者
论文摘要
本说明讨论了参数离散时间混合构成最佳控制问题（MIOCP）的属性，因为它们通常在混合成员NMPC中出现。我们认为，对于参数MIOCP的相似性属性的句柄，最佳控制的经典收费公路概念很有帮助。我们根据MIOCP的耗散概念提供了足够的收费公路条件，并且我们表明，收费公路属性允许对整数值的控件进行特定而准确的猜测。此外，我们展示了如何使用收费公路属性来得出针对参数MIOCPS量身定制的有效节点加权的分支和结合方案。我们借助数值示例来说明我们的发现。
This note discusses properties of parametric discrete-time Mixed-Integer Optimal Control Problems (MIOCPs) as they often arise in mixed-integer NMPC. We argue that in want for a handle on similarity properties of parametric MIOCPs the classical turnpike notion from optimal control is helpful. We provide sufficient turnpike conditions based on a dissipativity notion of MIOCPs, and we show that the turnpike property allows specific and accurate guesses for the integer-valued controls. Moreover, we show how the turnpike property can be used to derive efficient node-weighted branch-and-bound schemes tailored to parametric MIOCPs. We draw upon numerical examples to illustrate our findings.
