Title :
On numerical differentiation algorithms for nonlinear estimation
Author :
Diop, S. ; Grizzle, J.W. ; Chaplais, F.
Author_Institution :
Lab. des Signaux & Systemes, Gif sur Yvette, France
Abstract :
Practical methods of differentiating a signal known only through its online samples are much needed, given the numerous areas in control theory and practice where differentiation is encountered. This communication presents theoretical as well as implementation details on several numerical differentiation algorithms which may be useful in the area of nonlinear estimation. In particular, these algorithms may be used as ingredients for alternative solutions to the long-standing problem of observer design for nonlinear systems
Keywords :
differentiation; finite difference methods; nonlinear estimation; observers; nonlinear estimation; nonlinear systems; numerical differentiation algorithms; observer design; Algorithm design and analysis; Automatic control; Control theory; Difference equations; Ear; Estimation error; Inverse problems; Nonlinear systems; Polynomials; Uncertainty;
Conference_Titel :
Decision and Control, 2000. Proceedings of the 39th IEEE Conference on
Conference_Location :
Sydney, NSW
Print_ISBN :
0-7803-6638-7
DOI :
10.1109/CDC.2000.912005