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Journal Articles IEEE Transactions on Automatic Control Year : 2021

A High-Order Sliding-Mode Adaptive Observer for Uncertain Nonlinear Systems

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Abstract

A high-order sliding-mode adaptive observer is proposed to solve the problem of adaptive estimation, i.e., the simultaneous estimation of the state and parameters, for a class of uncertain nonlinear systems in the presence of external disturbances, that does not need to satisfy a relative degree condition equal to one. This approach is based on a highorder sliding-mode observer and a nonlinear parameter identification algorithm. The practical, global and uniform asymptotic stability of the adaptive estimation error, despite the external disturbances, is guaranteed through the small-gain theorem. The convergence proofs are developed based on Lyapunov and inputto-state stability theories. Some simulation results illustrate the performance of the proposed high-order sliding-mode adaptive observer.
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Dates and versions

hal-03503709 , version 1 (28-12-2021)

Identifiers

  • HAL Id : hal-03503709 , version 1

Cite

Héctor Ríos, Roberto Franco, Alejandra Ferreira de Loza, Denis Efimov. A High-Order Sliding-Mode Adaptive Observer for Uncertain Nonlinear Systems. IEEE Transactions on Automatic Control, inPress. ⟨hal-03503709⟩
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