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Global stabilization of feedforward systems with exponentially unstable Jacobian linearization |
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| Authors: | F. Grognard R. Sepulchre G. Bastin |
| Affiliation: | a Center for Systems Engineering and Applied Mechanics, Université catholique de Louvain, Av. G. Lemaitre 4, B1348 Louvain-La-Neuve, Belgium;b Institut Montefiore, B28, Université de Liège, B4000 Liège Sart-Tilman, Belgium |
| Abstract: | The global stabilization of a class of feedforward systems having an exponentially unstable Jacobian linearization is achieved by a high-gain feedback saturated at a low level. The control law forces the derivatives of the state variables to small values along the closed-loop trajectories. This “slow control” design is illustrated with a benchmark example and its limitations are emphasized. |
| Keywords: | Nonlinear control Global stabilization Feedforward systems |
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