Super twisting algorithm-based step-by-step sliding mode observers for nonlinear systems with unknown inputs

DOI10.1080/00207720701409330zbMath1128.93311OpenAlexW2123406505MaRDI QIDQ5436950

Thierry Floquet, Jean-Pierre Barbot

Publication date: 18 January 2008

Published in: International Journal of Systems Science (Search for Journal in Brave)

Full work available at URL: https://hal.inria.fr/inria-00128137v2/file/TBIJSS_HAL.pdf

zbMATH Keywords

nonlinear systemsmatching conditionunknown inputssliding mode observerssuper twisting algorithm

Mathematics Subject Classification ID

Nonlinear systems in control theory (93C10) Multivariable systems, multidimensional control systems (93C35) Observability (93B07)

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Cites Work

• Robust exact differentiation via sliding mode technique
• Sliding observer-based feedback control for flexible joints manipulator
• Output-feedback control of an underwater vehicle prototype by higher-order sliding modes
• Sliding mode observers for fault detection and isolation
• Exact differentiation and sliding mode observers for switched Lagrangian systems
• The invariance conditions in variable structure systems
• Observability of the discrete state for dynamical piecewise hybrid systems
• Homogeneity approach to high-order sliding mode design
• Observer design based on triangular form generated by injective map
• Observability and controllability of piecewise affine and hybrid systems
• An LMI approach for designing sliding mode observers
• Parametric identification methodology using sliding modes observer
• Observability for any<tex>u(t)</tex>of a class of nonlinear systems
• Design of linear observers for a class of linear hybrid systems
• Nonlinear Observers with Linearizable Error Dynamics
• On Sliding Observers for Nonlinear Systems
• Design of observers for linear systems with unknown inputs
• A simple observer for nonlinear systems applications to bioreactors
• Nonlinear controllability and observability
• Sliding order and sliding accuracy in sliding mode control
• On the development of discontinuous observers
• Full-order observers for linear systems with unknown inputs
• Higher-order sliding modes, differentiation and output-feedback control
• Switched chattering control vs. backlash/friction phenomena in electrical servo-motors
• Stochastic output noise effects in sliding mode state estimation
• A state observer for nonlinear systems
• Sliding mode observer for nonlinear uncertain systems
• On the robust fault detection via a sliding mode disturbance observer
• Sliding mode observers for robust detection and reconstruction of actuator and sensor faults
• On sliding mode observers via equivalent control approach
• Second-order sliding-mode observer for mechanical systems
• An observability form for linear systems with unknown inputs

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