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Linear approximations of nonlinear systemsA method for designing an automatic flight controller for short and vertical takeoff aircraft is presently being developed at NASA Ames Research Center. This technique involves transformations of nonlinear systems to controllable linear systems and takes into account the nonlinearities of the aircraft. In general, the transformations cannot always be given in closed form. Using partial differential equations, an approximate linear system, called the modified tangent model, was recently introduced. A linear transformation of this tangent model to Brunovsky canonical form can be constructed, and from this an approximation of an exact transformation for the nonlinear system can be found. It is shown that a canonical expansion in Lie brackets about the point x(0) yields the same modified tangent model.
Document ID
19850051109
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Hunt, L. R.
(Texas Technological Univ. Lubbock, TX, United States)
Su, R.
(Texas Tech University Lubbock, TX, United States)
Date Acquired
August 12, 2013
Publication Date
January 1, 1983
Subject Category
Cybernetics
Meeting Information
Meeting: Conference on Decision and Control
Location: San Antonio, TX
Start Date: December 14, 1983
End Date: December 16, 1983
Sponsors: IEEE
Accession Number
85A33260
Funding Number(s)
CONTRACT_GRANT: NAG2-203
CONTRACT_GRANT: N0014-76-C-1136
CONTRACT_GRANT: NAG2-189
Distribution Limits
Public
Copyright
Other

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