首页|Sequential Inverse Optimal Control of Discrete-Time Systems

Sequential Inverse Optimal Control of Discrete-Time Systems

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This paper presents a novel sequential inverse opti-mal control(SIOC)method for discrete-time systems,which cal-culates the unknown weight vectors of the cost function in real time using the input and output of an optimally controlled dis-crete-time system.The proposed method overcomes the limita-tions of previous approaches by eliminating the need for the invertible Jacobian assumption.It calculates the possible-solution spaces and their intersections sequentially until the dimension of the intersection space decreases to one.The remaining one-dimensional vector of the possible-solution space's intersection represents the SIOC solution.The paper presents clear condi-tions for convergence and addresses the issue of noisy data by clarifying the conditions for the singular values of the matrices that relate to the possible-solution space.The effectiveness of the proposed method is demonstrated through simulation results.

Inverse optimal controlpromised calculation stepsequential calculation

Sheng Cao、Zhiwei Luo、Changqin Quan

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Graduate School of System Informatics,Kobe University,Kobe 657-8501,Japan

2024

自动化学报(英文版)
中国自动化学会,中国科学院自动化研究所,中国科技出版传媒股份有限公司

自动化学报(英文版)

CSTPCDEI
ISSN:2329-9266
年,卷(期):2024.11(3)
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