Sequential Inverse Optimal Control of Discrete-Time Systems
Sheng Cao; Zhiwei Luo; Changqin Quan
刊名IEEE/CAA Journal of Automatica Sinica
2024
卷号11期号:3页码:608-621
关键词Inverse optimal control promised calculation step sequential calculation
ISSN号2329-9266
DOI10.1109/JAS.2023.123762
英文摘要This paper presents a novel sequential inverse optimal control (SIOC) method for discrete-time systems, which calculates the unknown weight vectors of the cost function in real time using the input and output of an optimally controlled discrete-time system. The proposed method overcomes the limitations 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 conditions 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.
内容类型期刊论文
源URL[http://ir.ia.ac.cn/handle/173211/54594]  
专题自动化研究所_学术期刊_IEEE/CAA Journal of Automatica Sinica
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Sheng Cao,Zhiwei Luo,Changqin Quan. Sequential Inverse Optimal Control of Discrete-Time Systems[J]. IEEE/CAA Journal of Automatica Sinica,2024,11(3):608-621.
APA Sheng Cao,Zhiwei Luo,&Changqin Quan.(2024).Sequential Inverse Optimal Control of Discrete-Time Systems.IEEE/CAA Journal of Automatica Sinica,11(3),608-621.
MLA Sheng Cao,et al."Sequential Inverse Optimal Control of Discrete-Time Systems".IEEE/CAA Journal of Automatica Sinica 11.3(2024):608-621.
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