English

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

Optimization and Control 2022-09-27 v1 Systems and Control Systems and Control

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.

Keywords

Cite

@article{arxiv.2209.12775,
  title  = {Jump Law of Co-State in Optimal Control for State-Dependent Switched Systems and Applications},
  author = {Mi Zhou and Erik I. Verriest and Yue Guan and Chaouki Abdallah},
  journal= {arXiv preprint arXiv:2209.12775},
  year   = {2022}
}