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Feedback Stabilization of a Class of Unstable Nonholonomic Systems

J. Dyn. Sys., Meas., Control  -- March 2002 --  Volume 124,  Issue 1, 221 (10 pages)
doi:10.1115/1.1433479

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Author(s):
Bill Goodwine
Aerospace and Mechanical engineering, University of Notre Dame, Notre Dame, IN 46556

Milos Zefran
Electrical Engineering and Computer Science, The University of Illinois at Chicago, Chicago, IL 60607
This paper considers the design of nonlinear stabilizing controllers for a class of systems which exhibit unstable rolling dynamics or shimmy. Such systems can be used, for example, to approximate the complex dynamics of an aircraft landing gear structure. The controllers are designed using the well-known nonlinear control technique known as feedback linearization and some recent results pertaining to stability of hybrid systems. We consider three models of a system exhibiting shimmy, each progressively more sophisticated than the other and in each case we derive the controllers that stabilize the system. An interesting conclusion of this study is that the models that are more complex can be stabilized with simpler controllers.

©2002 ASME

History: Received October 11, 2000
doi: http://dx.doi.org/10.1115/1.1433479

KEYWORDS and PACS

Keywords
PACS
  • 07.05.Dz
    Instruments, apparatus, and components common to several branches of physics and astronomy Computers in experimental physics Control systems
  • 02.30.Yy
    Mathematical methods in physics Function theory, analysis Control theory
  • YEAR: 2002

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PUBLICATION DATA

Doc Type:
Theoretical
Coden:
JDSMAA
ISSN:
0022-0434 (print)   1528-9028 (online)
Publisher:
AIP is a member of CrossRef ASME

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