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| Data-driven optimal switching and control of switched systems |
| ChiZhang,MinggangGan,ChenchenXue |
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| (1 School of Automation, Beijing Institute of Technology, Beijing 100081, China
2 Beijing Institute of Control Engineering, Beijing, China;1 School of Automation, Beijing Institute of Technology, Beijing 100081, China
3 China Academy of Launch Vehicle Technology, Beijing, China) |
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| DOI：https://doi.org/10.1007/s11768-021-00054-y |
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| 基金项目:This work was supported by the National Natural Science Foundation of China (No. 61673065). |
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| Data-driven optimal switching and control of switched systems |
| Chi Zhang,Minggang Gan,Chenchen Xue |
| (1 School of Automation, Beijing Institute of Technology, Beijing 100081, China
2 Beijing Institute of Control Engineering, Beijing, China;1 School of Automation, Beijing Institute of Technology, Beijing 100081, China
3 China Academy of Launch Vehicle Technology, Beijing, China) |
| Abstract: |
| In this paper, optimal switching and control approaches are investigated for switched systems with infinite-horizon cost functions
and unknown continuous-time subsystems. At first, for switched systems with autonomous subsystems, the optimal
solution based on the finite-horizon HJB equation is proposed and a data-driven optimal switching algorithm is designed.
Then, for the switched systems with subsystem inputs, a data-driven optimal control approach based on the finite-horizon
HJB equation is proposed. The data-driven approaches approximate the optimal solutions online by means of the system state
data instead of the subsystem models. Moreover, the convergence of the two approaches is analyzed. Finally, the validity of
the two approaches is demonstrated by simulation examples. |
| Key words: Switched systems · Optimal switching · Optimal control · Data-driven control |
