Published December 1, 1989
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Control and stabilization of systems with homoclinic orbits
- Creators
- Bloch, A. M.
- Marsden, J. E.
Chicago
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Abstract
In this paper we consider the control of two physical systems, the near wall region of a turbulent boundary layer and the rigid body, using techniques from the theory of nonlinear dynamical systems. Both these systems have saddle points linked by heteroclinic orbits. In the fluid system we show how the structure of the phase space can be used to keep the system near an (unstable) saddle. For the rigid body system we discuss passage along the orbit as a possible control manouver, and show how the Energy-Casimir method can be used to analyze stabilization of the system about the saddles.
Additional Information
© Copyright 1989 IEEE. Reprinted with permission. Supported in part by NSF Grant DMS-87-01576 and AFOSR Grant AFOSR-ISSA-87-0077 and by the USARO through MSI at Cornell University. Supported in part by DOE Contract DE-AT03-88ER-12097 and by MSI at Cornell University and by AFOSR Contract No. 88-NA-321.Files
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