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An LMI-based discrete time nonlinear observer for light-emitting diode optical communication

Abstract : Light-Emitting Diode (LED) optical wireless communication is a potentially low-cost, sustainable approach for enabling high-speed free-space and underwater transmissions within a limited communication range. Establishing a tightly controlled line of sight (LOS) between transmitter and receiver is a significant challenge because the angle of the alignment is not directly measured and has to be estimated. To address this problem, we propose a novel switched-gain discrete-time nonlinear observer for an LED-based optical communication model in which the nonlinear output functions are composed of nonlinear vector functions of multi-scalar combinations of the states. Lyapunov function-based analysis that ensures global stability is used to design the proposed observer in each piecewise monotonic region of the LED output functions. Furthermore, we prove via a quadratic Lyapunov-based approach that a constant stabilizing observer gain design approach has no feasible solution when the entire LED optical communication range is considered. Therefore, a suitable switched-gain nonlinear observer is derived for non-monotonic output measurement equations. Simulation results are shown together with extensive comparisons with the Extended Kalman Filter (EKF) to illustrate the performance of the proposed switched-gain observer design.
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https://hal.archives-ouvertes.fr/hal-03642179
Contributor : Ali Zemouche Connect in order to contact the contributor
Submitted on : Thursday, April 14, 2022 - 8:23:57 PM
Last modification on : Monday, April 25, 2022 - 3:01:49 AM

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Ibrahima N'Doye, Zhang Ding, Ania Adil, Ali Zemouche, Rajesh Rajamani, et al.. An LMI-based discrete time nonlinear observer for light-emitting diode optical communication. Automatica, Elsevier, 2022, 141, pp.110309. ⟨10.1016/j.automatica.2022.110309⟩. ⟨hal-03642179⟩

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