Delay Estimation for Nonlinear Systems With Unknown Output Delay

In this letter, the problems of delay identifiability and delay estimation for a nonlinear systems subject to constant unknown output delay are studied. Usually, the estimation of such delay is based on a monotonic condition which is hard to satisfy in the case of nonlinear systems. To deal with thi...

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Bibliographic Details
Published in:IEEE control systems letters 2023, Vol.7, p.1219-1224
Main Authors: Dam, Quang Truc, Thabet, Rihab El Houda, Ahmed Ali, Sofiane, Guerin, Francois
Format: Article
Language:English
Subjects:
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Delay estimation
Delay identification
delay systems
Engineering Sciences
Estimation
Lyapunov methods
Nonlinear systems
Observers
Simulation
state observers
Time-varying systems
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Summary:In this letter, the problems of delay identifiability and delay estimation for a nonlinear systems subject to constant unknown output delay are studied. Usually, the estimation of such delay is based on a monotonic condition which is hard to satisfy in the case of nonlinear systems. To deal with this open and interesting problem, a change of coordinates is introduced in this letter to transform the nonlinear system to the triangular form. Then, a high order sliding mode observer is designed based on implicit Lyapunov function to estimate the state and delayed-input, based on these estimation, the delay estimator is proposed. The convergence of the proposed observer is proved and the effectiveness of the proposed method is illustrated through simulation results of an Electro-Hydraulic Actuator (EHA) system.
ISSN:2475-1456
2475-1456
DOI:10.1109/LCSYS.2022.3232407