Title :
A generalized normal form and its application to sliding mode control
Author_Institution :
Dept. of Electr. Eng., Linkoping Univ., Sweden
Abstract :
In this paper it is shown how a normal form, corresponding to that of affine state space systems, can be calculated for a dynamics defined in the differential algebraic framework. The construction of the normal form is based on a generalization of the Lie derivative where the state derivatives are eliminated using Grobner bases. It is also shown how the generalized normal form can be used in the context of sliding mode control
Keywords :
Lie algebras; differential equations; dynamics; state-space methods; variable structure systems; Grobner bases; Lie derivative; affine state space systems; differential algebra; dynamics; generalized normal form; sliding mode control; state derivatives; Algebra; Control systems; Displays; Equations; Polynomials; Sliding mode control; State-space methods;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478559
