Adaptive observer for ODE-PDE cascade systems subject to nonlinear dynamics and uncertain parameters

In this article, state and parameter estimation problems are investigated for ODE-PDE coupled systems, for which the parabolic PDE sensor includes nonlinear dynamics and parameter uncertainty. The major difficulty we face is that the link point among the ODE part and the PDE part is not convenient t...

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Veröffentlicht in:Nonlinear dynamics Jg. 111; H. 18; S. 17317 - 17336
Hauptverfasser: Ji, Chunting, Zhang, Zhengqiang
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Dordrecht Springer Netherlands 01.09.2023
Springer Nature B.V
Schlagworte:
Automotive Engineering
Classical Mechanics
Control
Decoupling
Design
Dynamical Systems
Engineering
Errors
Mathematical functions
Mechanical Engineering
Nonlinear dynamics
Original Paper
Parabolic differential equations
Parameter estimation
Parameter uncertainty
Partial differential equations
Sensors
Vibration
Nonlinear dynamics
ODE-PDE cascade systems
Uncertainty
Adaptive observer
ISSN:0924-090X, 1573-269X
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Zusammenfassung:In this article, state and parameter estimation problems are investigated for ODE-PDE coupled systems, for which the parabolic PDE sensor includes nonlinear dynamics and parameter uncertainty. The major difficulty we face is that the link point among the ODE part and the PDE part is not convenient to measurable. For this reason, the objective of this paper is to build an adaptive observer to provide online estimates of states and unknown parameters on the basis that only boundary state is available for measurement. First of all, the observer error system is converted to a tractable target error system by applying the decoupling transformation. Then, the least-squares parameter adaptive law is built. Under an ad hoc persistent excitation condition, the exponentially decaying of the observer error system is demonstrated by applying Lyapunov–Krasovskii functional. Finally, the effectiveness of the theoretical results is confirmed by a simulation example.
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ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-023-08780-5