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Liquid-Updating Impulsive Adaptive Dynamic Programming for Continuous Nonlinear Systems

delete2024-02-01
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AI
M
Mingming Liang
D
Derong Liu *
DOI:10.1109/TSMC.2023.3318650delete
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Abstract

Abstract

En 中文
This article focuses on designing the optimal impulsive controller (IMC) of continuous-time nonlinear systems. A general-event-based dynamics (GED) is constructed to describe the state transition characteristics across the impulsive actions for the continuous-time nonlinear systems. Then, based on the GED, a new IMC design scheme and an impulsive adaptive dynamic programming (IADP) algorithm are developed, which possess strong generality and feasibility. Next, by introducing a novel policy-improving mechanism the liquid-updating IADP (LIADP) algorithm is established, which is more flexible to fit into the memory-limited computing devices, thus improving the flexibility and realization efficiency of the ADP-based approaches. The developed methods are proved to converge to the optimal impulsive PIF and obtain the optimal impulsive controllers for the continuous-time nonlinear systems. Finally, a numerical study is provided to verify the effectiveness of the present IADP and LIADP algorithms.
Keywords:
Adaptive critic designs
adaptive dynamic programming (ADP)
continuous nonlinear systems
optimal control
policy iteration (PI)

Journal

IEEE Transactions on Cybernetics cover
IEEE Transactions on Cybernetics
IF:
10.5
Papers:
1.1W
Citations:
5.0W

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244
Papers: 176
Citations: 0
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