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Data-driven optimal switching and control of switched systems
作者姓名:Chi Zhang  Minggang Gan  Chenchen Xue
作者单位: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
基金项目:This work was supported by the National Natural Science Foundation of China (No. 61673065).
摘    要:

关 键 词:Switched  systems  ·  Optimal  switching  ·  Optimal  control  ·  Data-driven  control

Data-driven optimal switching and control of switched systems
Chi Zhang,Minggang Gan,Chenchen Xue.Data-driven optimal switching and control of switched systems[J].Journal of Control Theory and Applications,2021,19(3):299-314.
Authors:Chi Zhang  Minggang Gan  Chenchen Xue
Affiliation: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.
Keywords:
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