On the Hybrid Minimum Principle: The Hamiltonian and Adjoint Boundary Conditions

On the Hybrid Minimum Principle: The Hamiltonian and Adjoint Boundary Conditions
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关于混合最小原理:哈密顿量和伴随边界条件

DOI:
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发表时间:
2017
影响因子:
6.8
通讯作者:
P. Caines
P. Caines
中科院分区:
计算机科学2区
文献类型:
--
作者:
A. Pakniyat;P. Caines

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针对具有自主切换和受控切换的确定性混合系统的最优控制问题,提出了允许切换时刻的状态跳转伴随着状态空间维数变化的混合最小值原理。一个特别重要的特征是明确地表示了哈密顿量的边界条件以及变换和跳跃前后的伴随过程。在多自治切换算法的一个改进版本上证明了这些表达式的数值效益。结果说明了混合动力模型的电动汽车动力总成与双速变速器。
The hybrid minimum principle is presented for the optimal control of deterministic hybrid systems with both autonomous and controlled switchings and jumps where state jumps at the switching instants are permitted to be accompanied by changes in the dimension of the state space. A feature of particular importance is the explicit presentation of the boundary conditions on the Hamiltonians and the adjoint processes before and after switchings and jumps. The numerical benefit of these expressions are demonstrated on a modified version of the multiple autonomous switchings algorithm. The results are illustrated for the hybrid model of an electric vehicle powertrain with a two-speed transmission.
通过凸松弛的多项式混合系统的最优控制
DOI: 10.1109/tac.2019.2929110
发表时间: 2020
影响因子: 6.8
作者:
Zhao, Pengcheng;Mohan, Shankar;Vasudevan, Ram
通讯作者: Vasudevan, Ram