A canonical expansion for nonlinear systems
- 1 July 1986
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Automatic Control
- Vol. 31 (7) , 670-673
- https://doi.org/10.1109/tac.1986.1104358
Abstract
The importance of differential geometry, in particular, Lie brackets of vector fields, in the study of nonlinear systems is well established. Under very mild assumptions, we show that a real-analytic nonlinear system has an expansion in which the coefficients are computed in terms of Lie brackets. This expansion occurs in a special coordinate system. We also explain the concept of a pure feedback system. For control design involving a nonlinear system, one approach is to put the system in its canonical expansion and approximate by that part having only feedback paths.Keywords
This publication has 2 references indexed in Scilit:
- Application of nonlinear transformations to automatic flight controlAutomatica, 1984
- On the Equivalence of Control Systems and the Linearization of Nonlinear SystemsSIAM Journal on Control, 1973