A delta operator state estimation algorithm for discrete-time systems with state time-delay

Xu, Ling; Zhang, Xiao; Ding, Feng; Zhu, Quanmin

Abstract

This letter presents a state estimation algorithm for linear discrete-time systems with state-delay. In order to overcome the difficulty that the traditional Kalman filter cannot estimate the states of the systems with state-delay, a state estimation strategy is developed by combining the auxiliary model with the delta operator. Then, by constructing and minimizing the covariance matrix of the state reconstruction errors, a delta operator state estimation algorithm is derived and it can fulfill effective state estimation for the linear discrete-time system with state-delay. Moreover, the convergence proof is provided by means of stochastic stability theory. Finally, the experimental results demonstrate that the developed state estimation method is effective.

• Journal Article Type: Article
• Acceptance Date: Jan 1, 2025
• Online Publication Date: Dec 18, 2024
• Publication Date: Dec 18, 2024
• Deposit Date: Jan 10, 2025
• Publicly Available Date: Jan 15, 2025
• Journal: IEEE Signal Processing Letters
• Print ISSN: 1070-9908
• Publisher: Institute of Electrical and Electronics Engineers
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Pages: 391-395
• DOI: https://doi.org/10.1109/lsp.2024.3519897
• Public URL: https://uwe-repository.worktribe.com/output/13549728