Abstract
The observer design for nonlinear systems with unknown, bounded, time-varying delays, on both input and state, is still an open problem for researchers. In this paper, a new observer design for a class of nonlinear system with unknown, bounded, time-varying delay was presented. For the proof of the observer stability, a Lyapunov–Krasovskii function was chosen. Sufficient assumptions are provided to prove the practical stability of the proposed observer. Furthermore, the exponential convergence of the observer was proved in the case of a constant time delay. Simulation results were shown to illustrate the feasibility of the proposed strategy.
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Naifar, O., Ben Makhlouf, A., Hammami, M.A. et al. On Observer Design for a Class of Nonlinear Systems Including Unknown Time-Delay. Mediterr. J. Math. 13, 2841–2851 (2016). https://doi.org/10.1007/s00009-015-0659-3
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DOI: https://doi.org/10.1007/s00009-015-0659-3