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Volume 7 Issue 1
Jan.  2020

IEEE/CAA Journal of Automatica Sinica

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Nezar M. Alyazidi and Magdi S. Mahmoud, "Distributed \begin{document}$H_{2}/H_\infty$\end{document} Filter Design for Discrete-Time Switched Systems," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 158-168, Jan. 2020. doi: 10.1109/JAS.2019.1911630
Citation: Nezar M. Alyazidi and Magdi S. Mahmoud, "Distributed \begin{document}$H_{2}/H_\infty$\end{document} Filter Design for Discrete-Time Switched Systems," IEEE/CAA J. Autom. Sinica, vol. 7, no. 1, pp. 158-168, Jan. 2020. doi: 10.1109/JAS.2019.1911630

Distributed $H_{2}/H_\infty$ Filter Design for Discrete-Time Switched Systems

doi: 10.1109/JAS.2019.1911630

the Deanship of Scientific Research (DSR) at KFUPM through distinguished professorship project 161065

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  • This paper addresses an infinite horizon distributed $\pmb{H}_{\bf 2}/\pmb{H}_{\bf\infty}$ filtering for discrete-time systems under conditions of bounded power and white stochastic signals. The filter algorithm is designed by computing a pair of gains namely the estimator and the coupling. Herein, we implement a filter to estimate unknown parameters such that the closed-loop multi-sensor accomplishes the desired performances of the proposed $\pmb H_{\bf 2}$ and $\pmb{H_{\bf\infty}}$ schemes over a finite horizon. A switched strategy is implemented to switch between the states once the operation conditions have changed due to disturbances. It is shown that the stability of the overall filtering-error system with $\pmb{H}_{\bf 2}/\pmb{H}_{\bf\infty}$ performance can be established if a piecewise-quadratic Lyapunov function is properly constructed. A simulation example is given to show the effectiveness of the proposed approach.


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    • It provides complete results of the infinite horizon distributed H2/Hoo filtering design problem for discrete-time systems with bounded power stochastic signals.
    • Essentially, it formulates the filtering design solution as a two-step procedure, which aims at lessening the computational load.
    • To guarantee the stability of the system, a switched strategy developed by switching the state according to the change in the operation conditions.
    • The performance evaluation of the filter under external disturbances are demonstrated.


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