Embedded dynamics of continuous time nonlinear single input systems

In this paper, the characterization of hidden dynamics is tackled for nonlinear single input systems, in continuous time. The state transformation which is required to display these dynamics is computed as well. The problem of system equivalence under state transformation is a special case of the above problem. Full or partial linearization using state transformation only may be solved as well within this general setting

[1]  Jean-Baptiste Pomet A differential geometric setting for dynamic equivalence and dynamic linearization , 1995 .

[2]  Eduardo Aranda-Bricaire,et al.  Invariant codistributions and the feedforward form for discrete-time nonlinear systems , 2004, Syst. Control. Lett..

[3]  Miroslav Krstic,et al.  Feedback linearizability and explicit integrator forwarding controllers for classes of feedforward systems , 2004, IEEE Transactions on Automatic Control.

[4]  W. Respondek,et al.  On decomposition of nonlinear control systems , 1982 .

[5]  Alessandro Astolfi,et al.  A geometric characterization of feedforward forms , 2005, IEEE Transactions on Automatic Control.

[6]  Philippe Martin,et al.  A Lie-Backlund approach to equivalence and flatness of nonlinear systems , 1999, IEEE Trans. Autom. Control..

[7]  L. Praly,et al.  Adding integrations, saturated controls, and stabilization for feedforward systems , 1996, IEEE Trans. Autom. Control..

[8]  Equivalence to a (Strict) Feedforward Form of Nonlinear Discrete-Time Single-Input Control Systems , 2005, Proceedings of the 44th IEEE Conference on Decision and Control.

[9]  A. Isidori Nonlinear Control Systems: An Introduction , 1986 .

[10]  Henk Nijmeijer State-space equivalence of an affine non-linear system with outputs to a minimal linear system , 1984 .

[11]  A. Teel A nonlinear small gain theorem for the analysis of control systems with saturation , 1996, IEEE Trans. Autom. Control..

[12]  Roger W. Brockett,et al.  Feedback Invariants for Nonlinear Systems , 1978 .