Title :
Exact Differentiation of Signals With Unbounded Higher Derivatives
Author :
Levant, Arie ; Livne, Miki
Author_Institution :
Sch. of Math. Sci., Tel-Aviv Univ., Tel-Aviv, Israel
fDate :
4/1/2012 12:00:00 AM
Abstract :
Arbitrary-order homogeneous differentiators based on high-order sliding modes are generalized to ensure exact robust kth-order differentiation of signals with a given functional bound of the (k + 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 with unbounded dynamics. Computer simulation demonstrates the applicability of the modified differentiators.
Keywords :
asymptotic stability; differentiation; discrete systems; estimation theory; robust control; signal sampling; variable structure systems; arbitrary-order homogeneous differentiators; asymptotic accuracy; computer simulation; discrete sampling; exact signal differentiation; functional bound; global observation; high-order sliding modes; modified differentiators; robust kth-order signal differentiation; system states; unbounded dynamics; unbounded higher derivatives; Accuracy; Convergence; Noise; Noise measurement; Real-time systems; Robustness; Trajectory; High-order sliding mode; homogeneity; nonlinear observers; robustness;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2011.2173424
