Abstract
In this chapter, the \(H_\infty \) filtering problem is addressed for a class of networked systems, where the measurement signal is transmitted to the remote filter stochastically. Unlike the last chapter, where the transmission process is deterministic, a new stochastic strategy is proposed here. Based on the stochastic system analysis, a sufficient condition is obtained such that the filtering error system is asymptotically stable in the mean-square sense and achieves a prescribed \(H_\infty \) performance level. A case study on a continuous stirred-tank reactors (CSTR) system is given to show the effectiveness of the proposed design.
Keywords
- Filtering Error System
- Stochastic System Analysis
- Continuous Stirred Tank Reactor (CSTR)
- Mean-square Sense
- Remote Filter
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Zhang, D., Wang, QG., Yu, L. (2017). \(H_\infty \) Filtering with Stochastic Signal Transmissions. In: Filtering and Control of Wireless Networked Systems. Studies in Systems, Decision and Control, vol 97. Springer, Cham. https://doi.org/10.1007/978-3-319-53123-6_5
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DOI: https://doi.org/10.1007/978-3-319-53123-6_5
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