端口-哈密尔顿系统的最优控制：能量、熵和放能

IF 2.1 3区计算机科学 Q3 AUTOMATION & CONTROL SYSTEMS

Systems & Control Letters Pub Date : 2024-10-26 DOI:10.1016/j.sysconle.2024.105942

Friedrich M. Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke

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引用次数: 0

摘要

我们考虑了不可逆和耦合可逆-不可逆非线性端口-哈密尔顿系统以及各自的热力学平衡集。我们特别关注有限时间水平上的最优状态转换和输出稳定。我们分析了一类最优控制问题，其中的性能函数可以解释为能量供应、熵生成或放能供应的线性组合。我们的结果建立了热力学平衡集的积分岔道特性，提供了最优系统轨迹与最优稳定状态之间的严格联系。在整篇论文中，我们通过两个例子来说明我们的发现：一个热交换器网络和一个气体活塞系统。

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Optimal control of port-Hamiltonian systems: Energy, entropy, and exergy

We consider irreversible and coupled reversible–irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-time horizons. We analyze a class of optimal control problems, where the performance functional can be interpreted as a linear combination of energy supply, entropy generation, or exergy supply. Our results establish the integral turnpike property towards the set of thermodynamic equilibria providing a rigorous connection of optimal system trajectories to optimal steady states. Throughout the paper, we illustrate our findings by means of two examples: a network of heat exchangers and a gas-piston system.

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来源期刊

Systems & Control Letters 工程技术-运筹学与管理科学

CiteScore

4.60

自引率

3.80%

发文量

144

审稿时长

6 months

期刊介绍： Founded in 1981 by two of the pre-eminent control theorists, Roger Brockett and Jan Willems, Systems & Control Letters is one of the leading journals in the field of control theory. The aim of the journal is to allow dissemination of relatively concise but highly original contributions whose high initial quality enables a relatively rapid review process. All aspects of the fields of systems and control are covered, especially mathematically-oriented and theoretical papers that have a clear relevance to engineering, physical and biological sciences, and even economics. Application-oriented papers with sophisticated and rigorous mathematical elements are also welcome.