Prescribed Exponential Convergence in Adaptive Observer Design with Applications

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  • 9 July 2025
    • preprint
    • Published by HAL in HAL
Abstract
This work addresses the design of adaptive observer, where both the parameters and state variables of the system are estimated simultaneously. For this purpose, we consider a Linear Time-Invariant system with delay in the output channel, and we address the problem of the semiautonomous adaptive cruise control system with the aim of estimating the cyberattack jointly with the system dynamics in the presence of transmission delay in the communication channel. The dynamics of the estimation errors are expressed by delay-differential equations, and its stability analysis makes use of the multiplicity-induced-dominancy property for spectral values of the error estimation equation Numerical simulations are provided to show the convergence of the proposed observer in presence of delays to estimate the states and the cyber-attack jointly.
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