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Decentralised - filtering of networked control systems: a jump system approach

Muhammad Ali Al-Radhawi and Maamar Bettayeb

International Journal of Systems Science, 2014, vol. 45, issue 10, 2182-2195

Abstract: We consider the problem of decentralised estimation of discrete-time interconnected systems with local estimators communicating with their subsystems over lossy communication channels. Assuming that the packet losses follow the Gilbert–Elliot model, the networked estimation problem can be formulated into a Markovian jump linear system framework. Modelling subsystem interactions as sum quadratic constrained uncertainties, we design mode-dependent decentralised H∞${\mathscr H}_\infty$-estimators that robustly stabilise the estimator system and guarantee a given disturbance attenuation level. The estimation gains are derived with necessary and sufficient rank-constrained linear matrix inequality conditions. Results are also provided for local mode-dependent estimators. Estimator synthesis is done using a cone-complementarity linearisation algorithm for the rank-constraints. The results are illustrated via an example.

Date: 2014
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DOI: 10.1080/00207721.2013.763304

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