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arXiv · 2209.12775

Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications

Mi Zhou·Erik I. Verriest·Yue Guan·Chaouki Abdallah
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Abstract

This paper presents the jump law of co-states in optimal control for state-dependent switched systems. The number of switches and the switching modes are assumed to be known a priori. A proposed jump law is rigorously derived by theoretical analysis and illustrated by simulation results. An algorithm is then proposed to solve optimal control for state-dependent hybrid systems. Through numerical simulations, we further show that the proposed approach is more efficient than existing methods in solving optimal control for state-dependent switched systems.

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Mi Zhou, Erik I. Verriest, Yue Guan, Chaouki Abdallah. 2022-09-26. Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications. https://arxiv.org/abs/2209.12775

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