Some open questions related to flat nonlinear systems

作者: Michel Fliess , Jean Lévine , Philippe Martin , Pierre Rouchon

DOI: 10.1007/978-1-4471-0807-8_21

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摘要: (Differentially) flat nonlinear systems were introduced by the authors employing either differential algebra or geometry of infinite order jets and prolongations (see [4, 7], references therein; notice, also contribution in [13] [12]).

参考文章(15)
M. van Nieuwstadt, M. Rathinam, R.M. Murray, Differential flatness and absolute equivalence conference on decision and control. ,vol. 1, pp. 326- 332 ,(1994) , 10.1109/CDC.1994.410908
Pierre Rouchon, Jean Lévine, Michel Fliess, Philippe Martin, Deux applications de la géométrie locale des diffiétés Annales De L Institut Henri Poincare-physique Theorique. ,vol. 66, pp. 275- 292 ,(1997)
Michel Fliess, A remark on Willems' trajectory characterization of linear controllability Systems & Control Letters. ,vol. 19, pp. 43- 45 ,(1992) , 10.1016/0167-6911(92)90038-T
MICHEL FLIESS, JEAN LÉVINE, PHILIPPE MARTIN, PIERRE ROUCHON, Flatness and defect of non-linear systems: introductory theory and examples International Journal of Control. ,vol. 61, pp. 1327- 1361 ,(1995) , 10.1080/00207179508921959
R. Rothfuss, J. Rudolph, M. Zeitz, Flatness based control of a nonlinear chemical reactor model Automatica. ,vol. 32, pp. 1433- 1439 ,(1996) , 10.1016/0005-1098(96)00090-8
Michel Fliess, Some basic structural properties of generalized linear systems Systems & Control Letters. ,vol. 15, pp. 391- 396 ,(1991) , 10.1016/0167-6911(90)90062-Y
J. Levine, J. Lottin, J.-C. Ponsart, A nonlinear approach to the control of magnetic bearings IEEE Transactions on Control Systems and Technology. ,vol. 4, pp. 524- 544 ,(1996) , 10.1109/87.531919
M. Fliess, J. Levine, P. Martin, P. Rouchon, A Lie-Backlund approach to equivalence and flatness of nonlinear systems IEEE Transactions on Automatic Control. ,vol. 44, pp. 922- 937 ,(1999) , 10.1109/9.763209
J.C. Willems, Paradigms and puzzles in the theory of dynamical systems IEEE Transactions on Automatic Control. ,vol. 36, pp. 259- 294 ,(1991) , 10.1109/9.73561