An LMI-based discrete time nonlinear observer for Light-Emitting Diode optical communication
KAUST DepartmentComputational Bioscience Research Center (CBRC)
Computer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Electrical and Computer Engineering Program
Estimation, Modeling and ANalysis Group
KAUST Grant NumberBAS/1/1627-01-01
Permanent link to this recordhttp://hdl.handle.net/10754/677905
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AbstractLight-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.
CitationN’Doye, I., Zhang, D., Adil, A., Zemouche, A., Rajamani, R., & Laleg-Kirati, T.-M. (2022). An LMI-based discrete time nonlinear observer for Light-Emitting Diode optical communication. Automatica, 141, 110309. https://doi.org/10.1016/j.automatica.2022.110309
SponsorsSupported by the King Abdullah University of Science and Technology (KAUST), Saudi Arabia through Base Research Fund (BAS/1/1627-01-01). The 21st IFAC World Congress (IFAC 2020), July 12–17, 2020, Berlin, Germany. This paper was recommended for publication in revised form by Associate Editor Angelo Alessandri under the direction of Editor Thomas Parisini.
Except where otherwise noted, this item's license is described as © 2022 The Author(s). Published by Elsevier Ltd. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).