A journal of IEEE and CAA , publishes high-quality papers in English on original theoretical/experimental research and development in all areas of automation
Volume 7 Issue 1
Jan.  2020

IEEE/CAA Journal of Automatica Sinica

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Article Contents
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.

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

##### doi: 10.1109/JAS.2019.1911630
Funds:

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

• 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.

• Recommended by Associate Editor Mohammed Chadli.
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