Title :
Exact Differentiation of Signals with Unbounded Higher Derivatives
Author_Institution :
Sch. of Math. Sci., Tel-Aviv Univ.
Abstract :
The proposed arbitrary-order differentiator based on high-order sliding modes is generalized to ensure exact robust nth-order differentiation of signals with a given functional bound of the (n + 1)th derivative. The asymptotic accuracies in the presence of noises and discrete sampling are estimated. The results are applicable for the global observation of system states when the dynamics is unbounded. Computer simulation confirms the applicability of the differentiator
Keywords :
differential equations; signal sampling; variable structure systems; arbitrary-order differentiator; discrete sampling; high-order sliding modes; signal differentiation; unbounded higher derivatives; Computer simulation; Control theory; Convergence; Filtration; H infinity control; Noise robustness; Robust control; Sampling methods; Sliding mode control; USA Councils;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.377165
