Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I
Hovakimyan, N., Lavretsky, E. & Sasane, A.
(2005).
Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I.
In
Proceedings of the 2005 American Control Conference (June 8-June 10, 2005, Hilton Portland & Executive Tower, Portland, Oregon)
(pp. 3542-3547).
American Automatic Control Council; Institute of Electrical and Electronics Engineers (IEEE).
https://doi.org/10.1109/ACC.2005.1470522
(2005).
Dynamic inversion for nonaffine-in-control systems via time-scale separation: part I.
In
Proceedings of the 2005 American Control Conference (June 8-June 10, 2005, Hilton Portland & Executive Tower, Portland, Oregon)
(pp. 3542-3547).
American Automatic Control Council; Institute of Electrical and Electronics Engineers (IEEE).
https://doi.org/10.1109/ACC.2005.1470522
This paper presents a new method for approximate dynamic inversion for nonaffine-in-control systems via time-scale separation. The control signal is sought as a solution of "fast" dynamics and is shown to asymptotically stabilize the original nonaffine system. Sufficient conditions are formulated, which are consistent with the assumptions of Tikhonov's theorem in singular perturbations theory. Several examples illustrate the theoretical results.