Data-driven optimal switching and control of switched systems

Chi Zhang; Minggang Gan; Chenchen Xue

doi:10.1007/s11768-021-00054-y

Data-driven optimal switching and control of switched systems

Chi Zhang, Minggang Gan^*, Chenchen Xue

^*Corresponding author for this work

School of Automation

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	299-314
Number of pages	16
Journal	Control Theory and Technology
Volume	19
Issue number	3
DOIs	https://doi.org/10.1007/s11768-021-00054-y
Publication status	Published - Aug 2021

Keywords

Data-driven control
Optimal control
Optimal switching
Switched systems

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10.1007/s11768-021-00054-y

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title = "Data-driven optimal switching and control of switched systems",

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 = "Data-driven control, Optimal control, Optimal switching, Switched systems",

author = "Chi Zhang and Minggang Gan and Chenchen Xue",

note = "Publisher Copyright: {\textcopyright} 2021, South China University of Technology, Academy of Mathematics and Systems Science, CAS and Springer-Verlag GmbH Germany, part of Springer Nature.",

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T1 - Data-driven optimal switching and control of switched systems

AU - Zhang, Chi

AU - Gan, Minggang

AU - Xue, Chenchen

PY - 2021/8

Y1 - 2021/8

N2 - 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.

AB - 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.

KW - Data-driven control

KW - Optimal control

KW - Optimal switching

KW - Switched systems

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VL - 19

SP - 299

EP - 314

JO - Control Theory and Technology

JF - Control Theory and Technology

IS - 3

ER -

Data-driven optimal switching and control of switched systems

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Keywords

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