Frequency characteristics of Levant's differentiator and adaptive sliding mode differentiator

DOI10.1080/00207720701631198zbMath1127.93032OpenAlexW1964996852MaRDI QIDQ5436953

Katsuhisa Furuta, Seiichi Kobayashi

Publication date: 18 January 2008

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

Full work available at URL: https://doi.org/10.1080/00207720701631198

zbMATH Keywords

observerdifferentiatorhigh-order sliding modeadaptive differentiator

Mathematics Subject Classification ID

Design techniques (robust design, computer-aided design, etc.) (93B51) Adaptive control/observation systems (93C40) Frequency-response methods in control theory (93C80) Observability (93B07)

Related Items (8)

Sliding Mode Order and Accuracy in Sliding Mode Adaptation and Convergence Acceleration ⋮ An SOS method for the design of continuous and discontinuous differentiators ⋮ Frequency domain precision analysis and design of sliding mode observers ⋮ On strict Lyapunov functions for some non-homogeneous super-twisting algorithms ⋮ Adaptive dual-layer super-twisting control and observation ⋮ Proper discretization of homogeneous differentiators ⋮ Exact differentiator with varying gains ⋮ An arbitrary-order differentiator design paradigm with adaptive gains

Cites Work

• Robust exact differentiation via sliding mode technique
• Sliding order and sliding accuracy in sliding mode control
• Robust output tracking using a sliding-mode controller/observer scheme
• Analysis of Second-Order Sliding-Mode Algorithms in the Frequency Domain
• Analysis of chattering in continuous sliding-mode controllers

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