Authors
Shixiong Wang
Publication date
2023/10/12
Journal
IEEE Transactions on Signal Processing
Volume
71
Pages
3835-3851
Publisher
IEEE
Description
In practice, the designed nominal model set for a jump (Markov) linear system might be uncertain: 1) Every candidate model might be inexact due to, e.g., mismatched modeling assumptions or model's identification errors; 2) The nominal model set might be incomplete (e.g., the true system has three operating modes but the designed model set includes only two of them). Moreover, the designed model transition probability matrix (TPM) might be uncertain: There is a discrepancy between the designed and true TPMs. Neglecting such model uncertainties and employing nominally optimal multi-model state estimators may cause significant performance losses. Therefore, this article proposes a robust state estimation framework for jump linear systems that is insensitive to these three types of model uncertainty, technically by leveraging the distributionally robust optimization theory. Specifically, the model uncertainties …
Total citations
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