A Maximum Principle for Hybrid Optimal Control Problems with Pathwise State Constraints
A Maximum Principle for Hybrid Optimal Control Problems with Pathwise State Constraints
复制标题
具有路径状态约束的混合最优控制问题的极大值原理
DOI：
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发表时间：
2006
期刊：
影响因子：
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通讯作者：
R. Vinter
中科院分区：
文献类型：
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作者：
P. Caines;F. Clarke;X. Liu;R. Vinter
本文以最大原则的形式提供了必要的最佳条件，以进行一系列的混合最佳控制问题，其中组成过程的动力学以控制术语的微分方程形式以及对过渡或过渡或限制的形式操作模式之间的开关通过功能平等和不平等约束的收集来描述。约束功能的不同选择捕获了广泛的自主和受控开关策略。我们配方的一个值得注意的特征是它为连续变量的路径状态限制提供了规定
This paper provides necessary conditions of optimality, in the form of a maximum principle, for a broad class of hybrid optimal control problems, in which the dynamics of the constituent processes take the form of differential equations with control terms, and restrictions on the transitions or switches between operating modes are described by collections of functional equality and inequality constraints. Different choices of the constraint functionals capture a wide range of possible autonomous and controlled switching strategies. A notable feature of our formulation is the provision it makes for pathwise state constraints on the continuous variables