Abstract | ||
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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 |
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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 Boutat | 1 | 141 | 21.73 |
Jean-Pierre Barbot | 2 | 453 | 56.67 |
Mohamed Darouach | 3 | 261 | 42.82 |