Switching through Singularities

  title={Switching through Singularities},
  author={S. Shankar Sastry},
Asymptotic tracking is studied for systems in which the relative degree is not well defined, meaning that the control law derived from exact input-output linearization has singularities in the state space. We propose a tracking control law which switches between approximate tracking [1] close to the singularities, and exact tracking away from the singularities, and we study the applicability of this law based on the behavior of the system's zero dynamics at the switching boundary. As in [1… CONTINUE READING
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Publications referenced by this paper.
Showing 1-10 of 14 references

Nonlinear control via approximate input-output lin earization: The ball and beam example

J. Hauser, S. Sastry, P. Kokotovic
IEEE Transactions on Automatic Control, vol. 37, no. 3, pp. 392-398, 1992. • 1992
View 10 Excerpts
Highly Influenced

Nonlinear inversion-based output tracking

S. Devasia, D. Chen, B. Paden
IEEE Trans actions on Automatic Control, vol. 41, no. 7, pp. 930-942, 1996. • 1996
View 11 Excerpts
Highly Influenced

A stabilizing switching scheme for multi controller systems

J. Malmborg, B. Bernhardsson, K. J. Astrom
International Federation of Automatic Control, (San Francisco, CA), 1996. • 1996
View 1 Excerpt

Poolla, "Adaptive Hqo control with multiple nonlinear models.

K. S. Rangan
Submitted to the 1996 Conference on Decision and Control, • 1996
View 1 Excerpt

Barbot , \ Application of sliding mode technique to high order tracking problem


Nonlinear system guidance

G. Meyer, L. R. Hunt, R. Su
Proceedings of IEEE Conference on Decision and Control, (New Orleans, LA), pp. 590-595, 1995. • 1995
View 1 Excerpt

Aunified framework forhybridcontrol

M.Branicky, V. Borkar, S. Mitter
Proceedings of IEEE Conference on Decision and Control, pp. 4228-4234, 1994. • 1994
View 1 Excerpt

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