Discrete Sliding-Mode-Based Differentiators
Document type :
Communication dans un congrès avec actes
Title :
Discrete Sliding-Mode-Based Differentiators
Author(s) :
Barbot, Jean-Pierre [Auteur]
Laboratoire QUARTZ [QUARTZ ]
Non-Asymptotic estimation for online systems [NON-A]
Levant, Arie [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Livine, Miki [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Lunz, Davin [Auteur]
University of Oxford
Laboratoire QUARTZ [QUARTZ ]
Non-Asymptotic estimation for online systems [NON-A]
Levant, Arie [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Livine, Miki [Auteur]
School of Mathematical Sciences [Tel Aviv] [TAU]
Lunz, Davin [Auteur]
University of Oxford
Conference title :
The 14th International Workshop on Variable Structure Systems (VSS 2016)
City :
Nanjing, Jiangsu
Country :
Chine
Start date of the conference :
2016-06-01
Publication date :
2016-06-02
HAL domain(s) :
Sciences de l'ingénieur [physics]/Automatique / Robotique
English abstract : [en]
Sliding-mode-based differentiators of the input f(t) of the order k yield exact estimations of the derivatives f(1), … f(k), provided an upper bound of |f(k+1)(t)| is available in real time.Practical application involves ...
Show more >Sliding-mode-based differentiators of the input f(t) of the order k yield exact estimations of the derivatives f(1), … f(k), provided an upper bound of |f(k+1)(t)| is available in real time.Practical application involves discrete noisy sampling of f and numeric integration of the internal variables between the measurements. The corresponding asymptotic differentiation accuracies are calculated in the presence of Euler integration and discrete sampling, whereas both independently feature variable or constant time steps. Proposed discrete differentiators restore the optimal accuracy of their continuous-time counterparts.Simulation confirms the presented results.Show less >
Show more >Sliding-mode-based differentiators of the input f(t) of the order k yield exact estimations of the derivatives f(1), … f(k), provided an upper bound of |f(k+1)(t)| is available in real time.Practical application involves discrete noisy sampling of f and numeric integration of the internal variables between the measurements. The corresponding asymptotic differentiation accuracies are calculated in the presence of Euler integration and discrete sampling, whereas both independently feature variable or constant time steps. Proposed discrete differentiators restore the optimal accuracy of their continuous-time counterparts.Simulation confirms the presented results.Show less >
Language :
Anglais
Peer reviewed article :
Oui
Audience :
Internationale
Popular science :
Non
Collections :
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