论文信息 - A Generalization Of Flatness To Nonlinear Systems Of Partial Differential Equations. Application To

A Generalization Of Flatness To Nonlinear Systems Of Partial Differential Equations. Application To

We introduce a concept of differential flatness for systems described by nonlinear partial differential equations. It generalizes the now classical notion of differential flatness for finite differential systems and its recent extensions to linear partial differential equations. We apply it to the motion planning of a very flexible rod, out of the linear approximation range.

Alexandre Sedoglavic

[1] M. Fliess,et al. Flatness and defect of non-linear systems: introductory theory and examples , 1995 .

[2] J. Rudolph,et al. Flatness-based boundary control of a nonlinear parabolic equation modelling a tubular reactor , 2001 .

[3] J. Lions,et al. Contrôle optimal de systèmes gouvernés par des équations aux dérivées partielles , 1968 .

[4] Hugues Mounier. Proprietes structurelles des systemes lineaires a retards : aspects theoriques et pratiques , 1995 .

[5] Philippe Flajolet,et al. An introduction to the analysis of algorithms , 1995 .

[6] Michel Fliess,et al. Controllability and observability of linear delay systems: an algebraic approach , 1998 .

[7] Hugues Mounier,et al. Tracking Control and π-Freeness of Infinite Dimensional Linear Systems , 1999 .

[8] Giorgio Picci,et al. Dynamical Systems, Control, Coding, Computer Vision , 1999 .

[9] Philippe Martin,et al. Motion planning for the heat equation , 2000 .

[10] N. N. Yanenko,et al. The Method of Fractional Steps , 1971 .

[11] S. Mitter,et al. Representation and Control of Infinite Dimensional Systems , 1992 .