High-Gain Observer Design for Nonlinear Systems with Delayed Output Measurements using Time-Varying Gains
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Conference PaperKAUST Department
Computer, Electrical and Mathematical Science & Engineering Division (CEMSE), KAUST, Saudi ArabiaComputer, Electrical and Mathematical Science and Engineering (CEMSE) Division
Electrical and Computer Engineering Program
Computational Bioscience Research Center (CBRC)
KAUST Grant Number
BAS/1/1627-01-01Date
2022-01-10Permanent link to this record
http://hdl.handle.net/10754/687020
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This paper proposes a high-gain observer design for nonlinear systems with delayed output measurements using time-varying gains. The proposed observer is endowed with an exponential stability guarantee and relies on the generalization of the Halanay-type inequalities. We establish that the estimated state and the adapted gain are exponentially bounded and prevent the oscillatory response of the estimates. The time-varying gain feature limits the constant high-gain values of the standard high-gain observer design to the minimum gain required to achieve stability. Furthermore, we derive an explicit relation between the maximum bound of the delay and the maximum gain parameter by using a Lyapunov-Krasovskii functional jointly with the time-varying Halanay inequality. Finally, a comparison with the standard high-gain observer is provided through numerical simulations to demonstrate the superiority of the proposed high-gain observer in rejecting the noise and reducing the peaking phenomena.Citation
Adil, A., N’Doye, I., & Laleg-Kirati, T.-M. (2022). High-Gain Observer Design for Nonlinear Systems with Delayed Output Measurements using Time-Varying Gains. 2022 IEEE 61st Conference on Decision and Control (CDC). https://doi.org/10.1109/cdc51059.2022.9992555Sponsors
This work has been supported by the King Abdullah University of Science and Technology (KAUST), Base Research Fund (BAS/1/1627-01-01) to Taous-Meriem LalegKirati. Ania Adil thanks the Direction Gen´ erale de la ´ Recherche Scientique et du Developpement Technologique ´ DGRSDT/MESRS-Algeria for the financial support.Publisher
IEEEConference/Event name
2022 IEEE 61st Conference on Decision and Control (CDC)ISBN
978-1-6654-6762-9Additional Links
https://ieeexplore.ieee.org/document/9992555/https://ieeexplore.ieee.org/document/9992555/
https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=9992555
ae974a485f413a2113503eed53cd6c53
10.1109/CDC51059.2022.9992555