Title
On the inversion of a class of nonlinear systems
Abstract
This paper deals with the inversion problem of affine square multi-input multi-output (MIMO) nonlinear systems. It presents a new algorithm unifying the construction of the inverse of a dynamical system with a regular or a singular characteristic matrix. This algorithm is based on the determination of a projector on the fibre bundle of the state space and incorporates a regularization of the singular case. It has the advantage of avoiding the input derivatives. Numerical examples are given to illustrate the proposed approach.
Year
DOI
Venue
2015
10.1016/j.sysconle.2015.06.007
Systems & Control Letters
Keywords
Field
DocType
Left invertibility,Inverse dynamics,Differential geometry
Affine transformation,Inverse,Mathematical optimization,Nonlinear system,Control theory,Projector,Regularization (mathematics),State space,Dynamical system,Mathematics,Fiber bundle
Journal
Volume
ISSN
Citations 
83
0167-6911
0
PageRank 
References 
Authors
0.34
1
3
Name
Order
Citations
PageRank
Driss Boutat114121.73
Jean-Pierre Barbot245356.67
Mohamed Darouach326142.82