Robust estimation and filtering in uncertain linear systems under unknown covariations

Коган, М. М.

doi:10.1134/s0005117915100033

Cited by 12 publications

(1 citation statement)

References 16 publications

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“…The core idea of robust filtering is to first construct a proper filter with desirable gains and then recursively calculate the minimal upper bounds (UBs) as an alternative yet practical performance replacing the estimation EVs [32]. On account of their engineering insight, the robust filtering problems have hitherto been investigated to accomplish expected performance specifications [14], [26], [27], [41]. Despite the fruitful robust filtering results on the classical one-dimensional (1-D) systems, the 2-D robust filtering issues have not received adequate research attention, which motivates the current investigation.…”

Section: Introductionmentioning

confidence: 99%

Robust Filtering for 2-D Systems With Uncertain-Variance Noises and Weighted Try-Once-Discard Protocols

Wang

Liang

Lam

et al. 2023

IEEE Trans. Syst. Man Cybern, Syst.

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The robust filtering problem is tackled for a class of shift-varying 2-D systems with uncertain-variance noises under the scheduling of weighted try-once-discard (WTOD) protocol. The measurements collected from the sensors are transmitted to a remote filter via a shared network. To alleviate the communication burden and obviate the network congestion, the WTOD protocol is adopted to orchestrate the data transmission, where a sensor node is solely permitted to broadcast its information to the remote filter at every transmission step. Moreover, the resilient filter is exploited to regulate the possible gain perturbation. The objective of the addressed problem is to design a robust filter in a recursive structure such that, in the simultaneous presence of the uncertain-variance noises and the WTOD protocol, the minimal upper bounds (UBs) on the filtering error variances (EVs) are developed for the considered system. First, by means of induction and stochastic analysis technique, certain UBs in terms of coupled recursive difference equations are derived for the actual EVs. Then, a proper filter is carefully designed which achieves the minimization of the obtained UBs at each step. Finally, an illustrative example is presented to verify the usefulness of the proposed protocol-based filtering method.

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